Special Factoring Patterns Students will be able to recognize and use special factoring patterns.

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Presentation transcript:

Special Factoring Patterns Students will be able to recognize and use special factoring patterns

FHSPolynomials2 Difference of Squares The difference of squares is a perfect square minus a perfect square, such as a 2 – b 2 This can be factored into the sum and the difference of the two square roots, or (a + b)(a – b) So we can factor any polynomial that fits this pattern as a 2 – b 2 = (a + b)(a – b)

FHSPolynomials3 Perfect Square Trinomial The other special factoring pattern is called the perfect square trinomial. Every binomial multiplied by itself fits this pattern. 1.First term is a perfect square. 2.Last term is a perfect square. 3.Middle term is formed by doubling the product of the first and last term square roots. 4.Example:

FHSPolynomials4 Examples Find the binomial factors for the following, if possible: Cannot be factored