Unit 2 Algebra Investigations Lesson 2: Factoring Polynomials and Expanding Polynomials Notes 2.8: Factor Special Products

(Ex 1) Factor by dividing out greatest common factor (Ex 1) Factor by dividing out greatest common factor. {ADD THIS TO NOTES!!} Factor the following: a) 3x3 + 6x2 + 9x b) x3 + 5x c) 16x2 – 8x + 4 d) 7x4 – 21x2

Checkpoint: Factor the polynomial. 1) 10x3 – 20x2 + 5 2) 49y3 – 7y 3) 3c2 – 9d2

SPECIAL PRODUCTS (Factor) Difference of Two Squares pattern: a2 – b2 = (a + b)(a – b) Perfect square trinomial pattern: a2 + 2ab + b2 = (a + b)2 a2 – 2ab + b2 = (a – b)2

(Ex 2) Factor the difference of squares. Factor the polynomial: z2 – 81 b) 16x2 – 9

(Ex 2) Factor the difference of squares. Factor the polynomial: a2 – 26b2 d) 4 – 16n2

Checkpoint: Factor the polynomial. 1) x2 – 100 2) 49y2 – 25 3) c2 – 9d2 4) 45 – 80m2

(Ex 3) Factor perfect square trinomials. Factor the polynomial: x2 – 10x + 25 b) y2 – 12y + 36

Checkpoint: Factor the polynomial. 5) x2 + 14x + 49 6) t2 – 22t + 121

(Ex 4) Factor perfect square trinomials. Factor the polynomial: 4y2 – 12y + 9 b) -3z2 + 24z – 48

(Ex 4) Factor perfect square trinomials. Factor the polynomial: c) 49s2 + 56st + 16t2

Checkpoint: Factor the polynomial. 16x2 – 40xy + 25y2 8) -5r2 – 20r – 20

Assignment WS 2.8 # 4-26 (even)