Slide 1

Factor higher degree polynomials by grouping. 8.8 Factor By Grouping Slide 2 Factoring a Common Binomial Factor the expression. 4x(x - 3) + 5(x 3) What do they have in common? (x 3) Rewrite as (x 3)(4x + 5) 2y 2 (y 5) 3(5 y) What do they have in common? If you factored a -1 from -3(5 - y) you would have something in common. Rewrite as (y 5)(2y 2 + 3) Slide 3 You Try! Factor the expression. x(x - 2) + (x 2) Rewrite as (x 2)(x + 1) x(13 + x) (x + 13) Rewrite as (x + 13)(x - 1) y 2 (y 4) + 5(4 y) Rewrite as (y 4)(y 2 5) Slide 4 Factor by Grouping Factor the polynomial. a 3 + 3a 2 + a + 3 Group items (a 3 + 3a 2 ) + (a + 3) Factor the GCF from each group a 2 (a + 3) + (a + 3) Rewrite (a 2 + 1)(a + 3) Slide 5 Practice Factor the polynomial. y 2 + 2x + yx + 2y Group items (y 2 + 2y) + (2x + yx) Factor the GCF from each group y(y + 2) + x(2 + y) Rewrite (y + 2)(y + x) Slide 6 You Try! Factor the polynomial. x 3 + 2x 2 + 8x + 16 (x + 2)(x 2 + 8) r 2 + 4r + rs + 4s (r + 4)(r + s) x 3 10 5x + 2x 2 (x + 2)(x 2 5) Slide 7 Factor Completely Slide 8 Assignment Odds P.531 #9-35