{"id":34088,"date":"2023-09-11T18:07:00","date_gmt":"2023-09-11T18:07:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=34088"},"modified":"2023-09-17T09:22:55","modified_gmt":"2023-09-17T09:22:55","slug":"perfect-square-trinomial-definition-formula-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/perfect-square-trinomial","title":{"rendered":"Perfect Square Trinomial &#8211; Definition, Formula, Examples, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-42ead523-0e08-45a1-ad9e-623f99188027\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/perfect-square-trinomial#0-what-is-a-perfect-square-trinomial>What Is a Perfect Square Trinomial?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/perfect-square-trinomial#4-how-to-find-a-perfect-square-trinomial>How to Find a Perfect Square Trinomial<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/perfect-square-trinomial#5-how-to-factor-a-perfect-square-trinomial>How to Factor a Perfect Square Trinomial<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/perfect-square-trinomial#9-solved-examples-on-perfect-square-trinomials>Solved Examples on Perfect Square Trinomials<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/perfect-square-trinomial#10-practice-problems-on-perfect-square-trinomials>Practice Problems on Perfect Square Trinomials<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/perfect-square-trinomial#11-frequently-asked-questions-about-perfect-square-trinomials>Frequently Asked Questions about Perfect Square Trinomials<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-a-perfect-square-trinomial\">What Is a Perfect Square Trinomial?<\/h2>\n\n\n\n<p><strong>A perfect square trinomial is a polynomial that can be written as a <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/perfect-squares\"><strong>perfect square<\/strong><\/a><strong> of a binomial.&nbsp;<\/strong><\/p>\n\n\n\n<p>Perfect square trinomials are algebraic polynomials that can be factored into the square of a binomial. They have a specific form and exhibit some distinct properties.&nbsp;<\/p>\n\n\n\n<p><strong>Perfect square trinomial example:<\/strong>&nbsp;<\/p>\n\n\n\n<p>x<sup>2<\/sup> + 6x + 9 is a perfect square trinomial expression, since it can be factored as (x + 3)<sup>2<\/sup>, the square of the binomial (x + 3).<\/p>\n\n\n\n<p>(x + 3)<sup>2<\/sup> = x<sup>2<\/sup> + 6x + 9<\/p>\n\n\n\n<p><strong>NOTE<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Trinomials are polynomials consisting of three terms.&nbsp;<\/li>\n\n\n\n<li>Binomials are polynomials consisting of two terms.<\/li>\n<\/ul>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-with-unit-squares-and-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_unit_sq_side_length_pt.png\" alt=\"Area with Unit Squares and Side Lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Area with Unit Squares and Side Lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-squares-and-trapezoids-as-closed-shape\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_square_trapezoid_2_pt.png\" alt=\"Classify Squares and Trapezoids as Closed Shape Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Squares and Trapezoids as Closed Shape Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-area-in-square-units\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_grannys_rescue_1_2_gm.png\" alt=\"Find Area in Square Units Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Area in Square Units Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-area-with-unit-squares\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_unit_square_2_pt.png\" alt=\"Find the Area with Unit Squares Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Area with Unit Squares Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-perimeter-of-the-squared-and-the-rectangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_rectangle_2_pt.png\" alt=\"Find the Perimeter of the Squared and the Rectangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Perimeter of the Squared and the Rectangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-kite-squares-and-rectangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_square_rectangle_pt.png\" alt=\"Identify Kite, Squares and Rectangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Kite, Squares and Rectangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-squares-and-trapezoids\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_amusement_park_19_21_gm.png\" alt=\"Identify Squares and Trapezoids Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Squares and Trapezoids Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-the-area-with-unit-squares\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_area_unit_square_1_pt.png\" alt=\"Identify the Area with Unit Squares Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify the Area with Unit Squares Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-the-perimeter-with-unit-squares\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_unit_square_2_pt.png\" alt=\"Identify the Perimeter with Unit Squares Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify the Perimeter with Unit Squares Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-triangles-and-squares\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_triangles_squares_pt.png\" alt=\"Identify Triangles and Squares Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Triangles and Squares Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-perfect-square-trinomial-definition\">Perfect Square Trinomial: Definition<\/h2>\n\n\n\n<p>A perfect square trinomial is a polynomial that can be expressed as the square of a binomial. It is an expression of the form (ax)<sup>2<\/sup> + 2abx + b<sup>2<\/sup> or (ax)<sup>2<\/sup> &#8211; 2abx + b<sup>2<\/sup>.<\/p>\n\n\n\n<p>where a and b are real constants, $a \\neq 0$.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/squares-and-circles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/squares-and-circles.jpeg\" alt=\"Squares and Circles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-properties-of-a-perfect-square-trinomial\">Properties of a Perfect Square Trinomial<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The first term is a perfect square.&nbsp;<\/li>\n\n\n\n<li>The last term is a perfect square.&nbsp;<\/li>\n\n\n\n<li>The middle term of the perfect square trinomial is twice the product of the square roots of the first and last terms.<\/li>\n\n\n\n<li>A perfect square trinomial is a special type of quadratic expression formed when a binomial is multiplied to itself.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-perfect-square-trinomial-formula\">Perfect Square Trinomial Formula<\/h2>\n\n\n\n<p>We already know that a perfect square trinomial may be factored into the square of a binomial. It means that it is in the following form:<\/p>\n\n\n\n<p>(ax + b)<sup>2<\/sup> = (ax)<sup>2<\/sup> + 2abx + b<sup>2<\/sup>\u00a0<\/p>\n\n\n\n<p>(ax &#8211; b)<sup>2<\/sup> = (ax)<sup>2<\/sup> &#8211; 2abx + b<sup>2<\/sup><\/p>\n\n\n\n<p>where a and b are real constants, $a \\neq 0$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"415\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/perfect-square-trinomials.png\" alt=\"Perfect square trinomials\" class=\"wp-image-34100\" title=\"Perfect square trinomials\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/perfect-square-trinomials.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/perfect-square-trinomials-300x201.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Example: <\/strong>Multiply the binomial (2y + 5) with itself.w<\/p>\n\n\n\n<p>(2y + 5) $\\times$ (2y + 5) = (2y + 5)<sup>2<\/sup><\/p>\n\n\n\n<p>We can use this formula to expand it to a perfect square trinomial as under<\/p>\n\n\n\n<p>(2y + 5)<sup>2<\/sup> = (2y)<sup>2<\/sup> + 2(2y)(5) + 5<sup>2<\/sup>&nbsp;<\/p>\n\n\n\n<p>(2y + 5)<sup>2<\/sup> = 4y<sup>2<\/sup> + 20y + 25<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-how-to-find-a-perfect-square-trinomial\">How to Find a Perfect Square Trinomial<\/h2>\n\n\n\n<p>To determine if a trinomial is a perfect square trinomial, you can compare the given trinomial with the form (ax)<sup>2<\/sup> + 2abx + b<sup>2<\/sup> or (ax)<sup>2<\/sup> &#8211; 2abx + b<sup>2<\/sup>.<\/p>\n\n\n\n<p>&nbsp;If it matches the form, it is a perfect square trinomial.<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> See whether the first term is a perfect square or not.<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>See whether the last term is a perfect square or not.<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>See if the middle term is twice the product of the square roots of the first and last terms.<\/p>\n\n\n\n<p><strong>Example:<\/strong> x<sup>2<\/sup> + 6x + 9<\/p>\n\n\n\n<p>First term: x<sup>2<\/sup> is a perfect square of x.<\/p>\n\n\n\n<p>Last term: 9 is a perfect square of 3.<\/p>\n\n\n\n<p>Middle term: 6x.<\/p>\n\n\n\n<p>6x is twice the product of x and 3.<\/p>\n\n\n\n<p>2(x)(3) = 6x\u00a0<\/p>\n\n\n\n<p>Therefore, the trinomial x<sup>2<\/sup> + 6x + 9 is a perfect square trinomial. It is the square of the binomial (x+3).<\/p>\n\n\n\n<p>(x + 3)<sup>2 <\/sup>= x<sup>2<\/sup> + 6x + 9<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-how-to-factor-a-perfect-square-trinomial\">How to Factor a Perfect Square Trinomial<\/h2>\n\n\n\n<p>Let\u2019s understand the steps to factor a perfect square trinomial of the form (ax)<sup>2<\/sup> + 2abx + b<sup>2<\/sup> or (ax)<sup>2<\/sup> &#8211; 2abx + b<sup>2<\/sup>.<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Find the square roots of the first term and the last term. These square roots represent the terms of the binomials.<\/p>\n\n\n\n<p>Here, the roots are (ax) and b.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Check the sign of the middle term. If the original trinomial has a positive middle term, write the factored form as (ax + b)<sup>2<\/sup>.\u00a0<\/p>\n\n\n\n<p>If the original trinomial has a negative middle term, write the factored form as (ax-b)2.<\/p>\n\n\n\n<p><strong>Example 1: <\/strong>Factor x<sup>2<\/sup> + 6x + 9.<\/p>\n\n\n\n<p>x<sup>2<\/sup> = xx<\/p>\n\n\n\n<p>9 = 3$\\times$3 = 3<sup>2<\/sup><\/p>\n\n\n\n<p>The middle term is positive. Thus, the sign of the binomial will be positive.<\/p>\n\n\n\n<p>x<sup>2<\/sup> + 6x + 9 = (x + 3)<sup>2<\/sup><\/p>\n\n\n\n<p><strong>Example 2: <\/strong>9x<sup>2<\/sup> &#8211; 12x + 4<\/p>\n\n\n\n<p>First term = 9x<sup>2<\/sup> = (3x)<sup>2<\/sup><\/p>\n\n\n\n<p>Last term = 4 = (2)<sup>2<\/sup><\/p>\n\n\n\n<p>Middle term has a negative sign.<\/p>\n\n\n\n<p>Middle term = 12x = 2 $\\times$ 3x $\\times$ 2<\/p>\n\n\n\n<p>Thus, 9x<sup>2<\/sup> &#8211; 12x + 4 = (3x &#8211;  2)<sup>2<\/sup><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-visualizing-perfect-square-trinomials\">Visualizing Perfect Square Trinomials<\/h2>\n\n\n\n<p>We can understand perfect square trinomials and how to factor them using area models.<\/p>\n\n\n\n<p>Observe the big square.&nbsp;<\/p>\n\n\n\n<p>Area of the big square represents the perfect square trinomial. It is composed of one square with area x<sup>2<\/sup> square units, 8 rectangles with area x square unit each, and 16 squares with area 1 square unit each.\u00a0<\/p>\n\n\n\n<p>(x + 4)<sup>2<\/sup> = x<sup>2<\/sup> + 8x + 16<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"639\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/understanding-perfect-square-trinomials-using-area-models.png\" alt=\"Understanding perfect square trinomials using area models\" class=\"wp-image-34098\" title=\"Understanding perfect square trinomials using area models\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/understanding-perfect-square-trinomials-using-area-models.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/understanding-perfect-square-trinomials-using-area-models-291x300.png 291w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-facts-about-perfect-square-trinomials\">Facts about Perfect Square Trinomials<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>A quadratic expression obtained from the square of a binomial equation is a perfect square trinomial.&nbsp;<\/li>\n\n\n\n<li>If a trinomial is in the form\u00a0 ax<sup>2<\/sup> + bx + c is said to be a perfect square, if and only if it satisfies the condition b<sup>2<\/sup> = 4ac.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about the perfect square trinomials, their properties, how to solve a perfect square trinomial and the formulas. Let\u2019s solve a few examples and MCQs for better understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-solved-examples-on-perfect-square-trinomials\">Solved Examples on Perfect Square Trinomials<\/h2>\n\n\n\n<p><strong>1. Factorize the perfect square trinomial 4x<\/strong><strong><sup>2<\/sup><\/strong><strong> + 12x + 9.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Perfect square trinomial: 4x<sup>2<\/sup> + 12x + 9<\/p>\n\n\n\n<p>First term = 4x<sup>2<\/sup> = (2x)<sup>2<\/sup><\/p>\n\n\n\n<p>Last term = 9 = (3)<sup>2<\/sup><\/p>\n\n\n\n<p>Middle term has a positive sign.<\/p>\n\n\n\n<p>Compare the given perfect square trinomial with (ax + b)<sup>2<\/sup> = (ax)<sup>2<\/sup> + 2abx + b<sup>2<\/sup>.<\/p>\n\n\n\n<p>Here, a = 2x and b = 3<\/p>\n\n\n\n<p>(2x + 3)<sup>2<\/sup> = 4x<sup>2<\/sup> + 12x + 9<\/p>\n\n\n\n<p><strong>2. Is the trinomial 3x<sup>2<\/sup> + 8x + 4 a perfect square trinomial?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given trinomial:<strong> 3x<sup>2<\/sup> + 8x + 4<\/strong><\/p>\n\n\n\n<p>First term = <strong>3x<sup>2<\/sup> = <\/strong>$(\\sqrt{3x})^{2}$<\/p>\n\n\n\n<p>Last term = 4 = (2)<sup>2<\/sup><\/p>\n\n\n\n<p>Middle term = <strong>8x<\/strong><\/p>\n\n\n\n<p>Compare the given trinomial with (ax + b)<sup>2<\/sup> = (ax)<sup>2<\/sup> + 2abx + b<sup>2<\/sup>.<\/p>\n\n\n\n<p>It does not match the form.&nbsp;<\/p>\n\n\n\n<p>The middle term is not twice the product of the roots 2 and <strong>8x<\/strong><strong>.<\/strong><\/p>\n\n\n\n<p>Therefore, the given expression cannot be factored as the square of a binomial. It is not a perfect square trinomial.<\/p>\n\n\n\n<p><strong>3. Find the factors of the perfect square trinomial 16a<sup>2<\/sup> &#8211; 40ab + 25b<sup>2<\/sup>.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given expression: <strong>16a<sup>2<\/sup> &#8211; 40ab + 25b<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p>First term = <strong>16a<sup>2<\/sup> = (4a)<sup>2<\/sup><\/strong><\/p>\n\n\n\n<p>Last term = 25b<sup>2<\/sup> = (5b)<sup>2<\/sup><\/p>\n\n\n\n<p>The sign of the middle term is negative. So, the factors will be of the form (4a-5b).<\/p>\n\n\n\n<p><strong>40ab = 2(4a)(5b)<\/strong><\/p>\n\n\n\n<p>Compare the given perfect square trinomial with (ax + b)<sup>2<\/sup> = (ax)<sup>2<\/sup> + 2abx + b<sup>2<\/sup><\/p>\n\n\n\n<p><strong>16a<sup>2<\/sup> &#8211; 40ab + 25b<sup>2<\/sup> = <\/strong>(4a &#8211; 5b)(4a &#8211; 5b)\u00a0<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-practice-problems-on-perfect-square-trinomials\">Practice Problems on Perfect Square Trinomials<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Perfect Square Trinomial - Definition, Formula, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following expressions is a perfect square trinomial?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$x^{2} \\;-\\; 6x + 9$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$x^{2} + 6x + 9$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$x^{2} \\;-\\; 6x \\;-\\; 9$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$x^{2} + 6x \\;-\\; 9$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $x^{2} + 6x + 9$<br\/>$x^{2} + 6x + 9 = (x + 3)^{2}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the factored form of the perfect square trinomial $x^{2} + 10x + 25$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$(x + 5)^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$(x \\;-\\;5)^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$(x \\;-\\;10)^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$(x + 10)^{2}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $(x + 5)^{2}$<br\/>$x^{2} + 10x + 25 = x^{2} + 10x + 5^{2} = (x + 5)^{2}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">A perfect square trinomial is the product of a _______ with itself.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">binomial<\/div><div class=\"spq_answer_block\" data-value=\"1\">monomial<\/div><div class=\"spq_answer_block\" data-value=\"2\">trinomial<\/div><div class=\"spq_answer_block\" data-value=\"3\">Any polynomial<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: binomial<br\/>A perfect square trinomial is the product of a binomial with itself.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Perfect Square Trinomial - Definition, Formula, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": 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\"text\/html\",\n                                \"text\": \"$$x^{2} + 6x \\\\;-\\\\; 9$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$x^{2} + 6x + 9 = (x + 3)^{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$x^{2} + 6x + 9$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$x^{2} + 6x + 9 = (x + 3)^{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$x^{2} + 6x + 9 = (x + 3)^{2}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the factored form of the perfect square trinomial $$x^{2} + 10x + 25$$?\",\n                    \"text\": \"What is the factored form of the perfect square trinomial $$x^{2} + 10x + 25$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$x^{2} + 10x + 25 = x^{2} + 10x + 5^{2} = (x + 5)^{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(x \\\\;-\\\\;5)^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$x^{2} + 10x + 25 = x^{2} + 10x + 5^{2} = (x + 5)^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(x \\\\;-\\\\;10)^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$x^{2} + 10x + 25 = x^{2} + 10x + 5^{2} = (x + 5)^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(x + 10)^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$x^{2} + 10x + 25 = x^{2} + 10x + 5^{2} = (x + 5)^{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$(x + 5)^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$x^{2} + 10x + 25 = x^{2} + 10x + 5^{2} = (x + 5)^{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$x^{2} + 10x + 25 = x^{2} + 10x + 5^{2} = (x + 5)^{2}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A perfect square trinomial is the product of a _______ with itself.\",\n                    \"text\": \"A perfect square trinomial is the product of a _______ with itself.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A perfect square trinomial is the product of a binomial with itself.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"monomial\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A perfect square trinomial is the product of a binomial with itself.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"trinomial\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A perfect square trinomial is the product of a binomial with itself.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Any polynomial\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A perfect square trinomial is the product of a binomial with itself.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"binomial\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A perfect square trinomial is the product of a binomial with itself.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A perfect square trinomial is the product of a binomial with itself.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-frequently-asked-questions-about-perfect-square-trinomials\">Frequently Asked Questions about Perfect Square Trinomials<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-86d5223f-a3bc-4fe1-ab98-dc09632b7240\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-86d5223f-a3bc-4fe1-ab98-dc09632b7240\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-86d5223f-a3bc-4fe1-ab98-dc09632b7240\"><strong>Where are perfect square trinomials used?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-86d5223f-a3bc-4fe1-ab98-dc09632b7240\">\n\n<p>Perfect square trinomials are used in algebra as they let us easily factor and solve quadratic equations.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-86d5223f-a3bc-4fe1-ab98-dc09632b7240\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-86d5223f-a3bc-4fe1-ab98-dc09632b7240\"><strong>How to solve a quadratic equation that is a perfect square trinomial?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-86d5223f-a3bc-4fe1-ab98-dc09632b7240\">\n\n<p>In a quadratic equation which is a perfect square trinomial, we have to take the square root of both sides and then solve for the variable (x). If applicable, remember to take into account both the positive and negative square roots.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-86d5223f-a3bc-4fe1-ab98-dc09632b7240\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-86d5223f-a3bc-4fe1-ab98-dc09632b7240\"><strong>What is the importance of identifying perfect square trinomials?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-86d5223f-a3bc-4fe1-ab98-dc09632b7240\">\n\n<p>Recognizing perfect square trinomials helps in the simplification of expressions, factorization, and solving of equations in a more efficient manner.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-86d5223f-a3bc-4fe1-ab98-dc09632b7240\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-86d5223f-a3bc-4fe1-ab98-dc09632b7240\"><strong>What is the method of completing squares?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-86d5223f-a3bc-4fe1-ab98-dc09632b7240\">\n\n<p>The method of completing a square is a process that involves manipulating the quadratic expression to create a perfect square trinomial. It is extremely useful in simplifying and solving quadratic equations.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-86d5223f-a3bc-4fe1-ab98-dc09632b7240\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-86d5223f-a3bc-4fe1-ab98-dc09632b7240\"><strong>How many factors are there in a perfect square trinomial?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-86d5223f-a3bc-4fe1-ab98-dc09632b7240\">\n\n<p>A perfect square trinomial has a binomial factor that is repeated twice.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-5-86d5223f-a3bc-4fe1-ab98-dc09632b7240\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-86d5223f-a3bc-4fe1-ab98-dc09632b7240\"><strong>What makes a perfect square trinomial?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-5-86d5223f-a3bc-4fe1-ab98-dc09632b7240\">\n\n<p>The square of any binomial results in a perfect square trinomial.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a Perfect Square Trinomial? A perfect square trinomial is a polynomial that can be written as a perfect square of a binomial.&nbsp; Perfect square trinomials are algebraic polynomials that can be factored into the square of a binomial. They have a specific form and exhibit some distinct properties.&nbsp; Perfect square trinomial example:&nbsp; x2 &#8230; <a title=\"Perfect Square Trinomial &#8211; Definition, Formula, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/perfect-square-trinomial\" aria-label=\"More on Perfect Square Trinomial &#8211; Definition, Formula, Examples, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-34088","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34088","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=34088"}],"version-history":[{"count":7,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34088\/revisions"}],"predecessor-version":[{"id":34101,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34088\/revisions\/34101"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=34088"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=34088"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=34088"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}