1. 6/13/2016 11:21 AMR-5: Factoring Polynomials1 SECTION R-5 F ACTORING P OLYNOMIALS

2. R-5: Factoring Polynomials6/13/2016 11:21 AM2 GCF Find the GCF of 28 and 40

3. R-5: Factoring Polynomials6/13/2016 11:21 AM3 GCF Find the GCF of 2, 7, 5

4. R-5: Factoring Polynomials6/13/2016 11:21 AM4 GCF Find the GCF of x 3, x 7, x 5

5. R-5: Factoring Polynomials6/13/2016 11:21 AM5 S TEPS IN F ACTORING P OLYNOMIALS 1.Determine if there is a GCF in the polynomial. a.If there is, divide the whole equation by the GCF. b.Put aside the GCF and focus on the factored equation 2.Factor out the polynomial (put in parentheses) 3.Write the GCF and polynomials factors together.

6. R-5: Factoring Polynomials6/13/2016 11:21 AM6 E XAMPLE 1 Factor out What is the GCF of 6x and 18? Take it out and DIVIDE the GCF. FACTOR out the polynomial Bring in the GCF

7. R-5: Factoring Polynomials6/13/2016 11:21 AM7 E XAMPLE 2 Factor out What is the GCF? Take it out and DIVIDE the GCF. FACTOR out the polynomial Bring in the GCF

8. R-5: Factoring Polynomials6/13/2016 11:21 AM8 E XAMPLE 3 Factor out

9. R-5: Factoring Polynomials6/13/2016 11:21 AM9 E XAMPLE 4 Factor out This is known as DIFFERENCE of SQUARES! DIFFERENCE means subtraction…this only works when there is a minus sign.

10. R-5: Factoring Polynomials6/13/2016 11:21 AM10 E XAMPLE 5 Factor out 9x 2 – 16 (3x + 4)(3x – 4)

11. R-5: Factoring Polynomials6/13/2016 11:21 AM11 Y OUR T URN Factor out

12. R-5: Factoring Polynomials6/13/2016 11:21 AM12 E XAMPLE 6 Factor out

13. R-5: Factoring Polynomials6/13/2016 11:21 AM13 E XAMPLE 7 Factor out

14. R-5: Factoring Polynomials6/13/2016 11:21 AM14 E XAMPLE 8 Factor out

15. R-5: Factoring Polynomials6/13/2016 11:21 AM15 Y OUR T URN Factor out

16. Sum/Difference of Cubes x 3 – 1 Step 1: Take the cubed root of the front term and back term. Place these in parentheses. Step 2: Take the remaining factors and place them in the front and back term positions. Leave the middle spot open. Step 3: Multiply the cubed roots by each other. Change the sign. This is your middle term.

17. Sum/Difference of Cubes 27x 3 + 8

18. Your Turn! 8x 3 – 1 (2x – 1)(4x 2 + 2x + 1)

19. 6/13/2016 11:21 AMR-5: Factoring Polynomials19 A SSIGNMENT Pg 51: #5 – 21 odd (skip 9) & #33 – 37 odd