1. FACTORING USING THE DISTRIBUTIVE PROPERTY By: Sierra Jennings & Kemartie Davis

2. E XPLANATION OF FACTORING USING THE DISTRIBUTIVE PROPERTY Factoring by grouping is using the distributive property to factor a polynomial. Distributive property is also used to factor like binomials.

3. STEPS ON SOLVING FACTORING USING THE DISTRIBUTIVE PROPERTY: 4a²+12ab+ 2a² 1 st - Factor each monomial: 4a² = 2 2 a a 12ab= 2 2 3 a b Combine like Terms 2a²= 1 2 a a 2 nd – Write the GCF (greatest common factor) of the monomials on the outside of the parenthesis: GCF: 2a( ) + 2a()+ 2a() 3 rd – Put remaining factors in side of the parenthesis. 2a(2a) + 2a(6b) + 2a(1a)

4. STEPS ON SOLVING FACTORING USING THE DISTRIBUTIVE PROPERTY CONT. 4 th – After setting up this problem use the distributive property to solve it: 4a²+12ab+ 2a²= 2a(2a) + 2a(6b) + 2a(1a) = 2a(2a + 6b + a) The Answer Is: 2a(2a + 6b + a) If you want to check your answer: 2a(2a + 6b + 1a) = 4a² + 12ab + 2a²

5. 6x²+14x First step: factor each monomial : 2* 3*x*x + 2*7*x Second step: figure out GCF (greatest common factor): 2x Third step: Use distributive property: 2x(3x + 7x)

6. Try These Problems Out: 1. 9x² + 36x 2. 12a² + 16a 3. 5x + 30y 4. 12a² + 6a 5. 4rq² + 2r²q 6.8x² + 36x 7.100x² + 1,000x 8.12x² + 18x 9. 9x² + 15x 10. 7x² + 35 Click here for answers

7. Answers 1. 9x(x + 4) 2. 4a(3a +4) 3. 5(x + 6y) 4. 3a(4a + 2) 5. 2rq(2q + r) 6. 4x (2x + 9) 7. 100x(2x + 9) 8. 6x(2x + 3) 9. 3x(3x + 5) 10. 7x(x + 5) Click here to go back to problem page

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