10.7 Factoring Special Products

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Presentation transcript:

10.7 Factoring Special Products Difference of Two Squares Pattern/ Perfect Square Trinomials

Objectives I will identify and use special product patterns to factor quadratic polynomials.

Factoring the Difference of Two Squares 1. x2 - 36 = x2 - 62 Write in a2 - b2 form = (x + 6)(x - 6) Factor using the pattern (a + b)(a - b) = a2 - b2

Factoring the Difference of Two Squares 2. 9x2 - 121 = (3x)2 - 112 Write in a2 - b2 form = (3x + 11)(3x - 11) Factor using the pattern (a + b)(a - b) = a2 - b2

Factoring the Difference of Two Squares 3. 12x2 - 75 = 3(4x2 - 25) Factor out a common factor = 3[(2x)2 - 52] Write in a2 - b2 form = 3(2x + 5)(2x - 5) Factor using the pattern (a + b)(a - b) = a2 - b2

Guided Practice Factor x2 - 169 16x2 - 9 20x2 - 20 (x + 13)(x - 13)

Factoring Perfect Square Trinomials 4. x2 - 6x + 9 x2 - 2(x)(3) + 32 Write in a2 - 2ab + b2 form (x - 3)2 Factor using pattern

Factoring Perfect Square Trinomials 5. 4x2 + 28x + 49 (2x)2 + 2(2x)(7) + 72 Write in a2 - 2ab + b2 form (2x + 7)2 Factor using pattern

Guided Practice Factor x2 - 18x + 81 x2 + 24x + 144 9x2 + 30x + 25

Independent Practice Factor x2 - 25 x2 + 26x + 169 4x2 - 81