Bellwork: 1/23/18 1. 2(w + 1) 2. 3x(x2 – 4) 3. 4h2 and 6h Simplify. 1. 2(w + 1) 2. 3x(x2 – 4) Find the GCF of each pair of monomials. 3. 4h2 and 6h 4. 13p and 26p5
greatest common factor
28 and 27
Use your dice to roll two, two-digit numbers find the GCF of those numbers
8x and 7v2 16a6 and 9b 27x2 and 45x3y2 12x and 28x3 18g2 and 27g3 Find the GCF of each pair of monomials 18g2 and 27g3 8x and 7v2 16a6 and 9b 27x2 and 45x3y2 12x and 28x3
Use your dice to roll two monomials find the GCF of these monomials Partner A Partner B Roll Monomial 1 2x 2 32 3 20y2 4 9x2y 5 40y3 6 15x3 Roll Monomial 1 4xy 2 3x 3 24 4 10x3y2 5 8x2 6 18y
Find the GCF: 12x4, 3x5, and 4x2 25xy3, 5x2y4, 125xy2
Factoring GCF Factor polynomials by using the greatest common factor.
Recall that the Distributive Property states that ab + ac =a(b + c) Recall that the Distributive Property states that ab + ac =a(b + c). The Distributive Property allows you to “factor” out the GCF of the terms in a polynomial to write a factored form of the polynomial.
Factor out the GCF:
1) Which pair of factors of 8 has a sum of 9? Bellwork: 1/25/18 1) Which pair of factors of 8 has a sum of 9? 2) Which pair of factors of 30 has a sum of –17? Multiply 3) (x +2)(x +3) 4) (r + 5)(r – 9)
Factoring by Grouping 6h4 – 4h3 + 12h – 8 6b3 + 8b2 + 9b + 12 5y4 – 15y3 + y2 – 3y 4r3 + 24r + r2 + 6