Factoring Binomials Algebra Lesson 9-5

Let’s Review 1) 6ab + 3a 2) 5x 3 – 3y 2 3) 2c 4 – 4c 3 + 6c 2 4) 4w 4n + 12w 4n+3

Your Turn to Try! 1) 6ab + 18a 2 2) 5x x 2 – 20x 3) 2x 2 – 3y 2 4) 3w 2n + 21w 2n+2

Factoring Polynomials Find the common binomial factor, then rewrite the distributive property. r(t + 1) + s(t + 1)=(r + s)(t + 1)

Example Problems 1) a(x – 3) + 6(x – 3) 2) a(b + 4) + c(b + 4) 3) x(y + 1) – 2(y + 1) 4) m(n 2 + 3) + 4(n 2 + 3) 5) p(2q + 5) – (2q + 5)

Factoring the expression ab + 4a + cb + 4c Group the terms that have a common number or variable as a factor. Factor the GCF from each group. Regroup the expression.

Reteaching the Lesson x 2 + 7xy + 9xy + 63y 2

Reteaching the Lesson m 2 n + mn – 4m – 4

Factor Practice 1) 6a ba + 3b 2) xy – x – 3y + 3 3) 2mn + 4n – m – 2 4) p 2 q – p 2 + 4q – 4

Answers 1) 6(a + 3) + b(a + 3) 2) x(y – 1) – 3(y – 1) 3) 2n(m + 2) – (m + 2) 4) p 2 (q – 1) + 4(q – 1)

Classwork Text pg. 450 & 451 # 22 – 32 & #50 – 54 (Even) Text pg. 451 # 55 – 58 (ALL)

Factoring Polynomials Regrouping is another way to factor polynomials. Look and group terms that have common number or variable as a factor. Then factor the GCF from each group. Rewrite terms using distributive property. x 2 + x + 2x + 2=(x 2 + x)(2x + 2) x(x + 1)=+ 2(x + 1) = (x+2)(x+1)

Extra Practice Problems 1) ax + bx + ay + by 2) mn + mp + 5n + 5p 3) 4ax – bx + 4ay – by 4) 3a + 3 – a 2 – a 5) 3m – 12 + m 3 – 4m 2

Your Turn to Try! 1) xy + 2y + x + 2 2) 2xz + 2yz + x + y 3) 2cd – c – 6d + 3 4) 12ab – 15a – 8b +10 5) x 2 + 3x + 4x + 12

Practice Problems 1) 2pq 2 + 4pq – 2q – 4 2) 6m 3 + 4m – 9m 2 – 6 3) ab 2 + 5a – 6b 2 – 30 4) 4 – 2x + 6 – 3x 5) mx + 5m + nx + 5n 6) 3x 2 + 3xy – 2xy – 2y 2

Warm Up Find the GCF of each set of numbers. 1. 6, , 24, , 6, 14, 28 Multiply. 4. 4(h 2 – 5) 5. 2b(b 2 – 9b)

Factoring Polynomials Find the GCF of the terms, then rewrite the distributive property. 5am – 5an=5a(m – n)

Extra Practice Problems 1) 4y 3 – 16y 4 2) 6p + 15p 2 – 9pq 3) 8r s 4 4) 7m 3n + 21m 3n+1

Let’s Review Factor x 3 + 8x y y ab 2 + ab 4. 2m 2 + 2m + 4m 3

Warm Up Factor. 1. 3k y 2 – 15y 3. 6c 3 + 9c x 3 y – 14x 2 y p 2 q p 5 q 4 – 25p 2 q 2

Classwork Text pg. 450 # 13 – 42 (ALL)