Perfect Square Trinomial

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What is a perfect square trinomial?

Back

An algebraic expression that is obtained by squaring a binomial expression.

Front

• The first and last terms are perfect squares. 

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Perfect Square Trinomial

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Perfect Square Trinomial

Back

• The middle term is twice the product of the square roots of the first and last terms. 

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Prime Trinomials

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a trinomial that cannot be factored into two binomials with rational coefficients

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Prime Trinomial

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Try factoring the trinomial using various methods, but if you cannot find two binomials that multiply to the original trinomial,

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Difference of squares

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a binomial expression where two perfect squares are subtracted

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Difference of Squares

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Look for two terms, both of which are perfect squares, and they are separated by a subtraction sign

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Factoring Trinomials

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Look for two numbers that multiply to the last term and add to the middle term.

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Quadratic Formula

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Used to find the roots of a quadratic equation:

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Completing the Square

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A method to solve quadratic equations by converting the equation into a perfect square trinomial.