1. R-5: Factoring Polynomials10/24/2015 6:40 AM1 W ARM- UP Factor out the following: 1. 2. 3. 4. x 3 – 8

2. R-5: Factoring Polynomials10/24/2015 6:40 AM2 A SSIGNMENT Q UESTIONS

3. 10/24/2015 6:40 AMR-5: Factoring Polynomials3 SECTION R-5 Continued F ACTORING P OLYNOMIALS

4. R EVIEW OF P ERFECT S QUARES Factor: x 2 + 4x + 4 10/24/2015 6:40 AMR-5: Factoring Polynomials4 (x + 2) 2

5. R EVIEW OF P ERFECT S QUARES Factor: 25x 2 – 10x + 1 10/24/2015 6:40 AMR-5: Factoring Polynomials5 (5x – 1) 2

6. R EVIEW OF S UM /D IFFERENCE OF C UBES Factor: x 3 – 64 10/24/2015 6:40 AMR-5: Factoring Polynomials6 (x – 4)(x 2 + 4x + 16)

7. R EVIEW OF S UM /D IFFERENCE OF C UBES Factor: 8x 3 + 1 10/24/2015 6:40 AMR-5: Factoring Polynomials7 (2x + 1)(4x 2 – 2x + 1)

8. F ACTORING T RINOMIALS Trinomials have three terms. Remember: Always look for a GCF first! 10/24/2015 6:40 AMR-5: Factoring Polynomials8

9. 10/24/2015 6:40 AM9 E XAMPLE 1 Factor 10/24/2015 6:40 AM9

10. R-5: Factoring Polynomials10/24/2015 6:40 AM10 E XAMPLE 2 Factor 10/24/2015 6:40 AM10

11. R-5: Factoring Polynomials10/24/2015 6:40 AM11 Y OUR T URN Factor: x 2 + 10x + 16 10/24/2015 6:40 AM11 (x + 2)(x + 8)

12. S WING M ETHOD OF F ACTORING Only applies to coefficients of ‘a’ greater than 1 1.Multiply the first and third term; Leave the second term alone 2.Factor the equation out 3.Divide the sums by ‘a’ 4.Reduce ALL FRACTIONS 5.If the answer is a fraction, bring the denominator to the product 10/24/2015 6:40 AM12R-5: Factoring Polynomials

13. E XAMPLE 3 Divide by ‘a’ Bring out the coefficient Factored Form Product Sum 10/24/2015 6:40 AM13R-5: Factoring Polynomials Reduce the fractions Bring denominators of any fractions to the front.

14. E XAMPLE 4 10/24/2015 6:40 AM14R-5: Factoring Polynomials

15. Factor out E XAMPLE 5 10/24/2015 6:40 AM15R-5: Factoring Polynomials

16. Factor out Y OUR T URN 10/24/2015 6:40 AM16R-5: Factoring Polynomials

17. Factor out E XAMPLE 6 10/24/2015 6:40 AM17R-5: Factoring Polynomials

18. 10/24/2015 6:40 AMR-5: Factoring Polynomials18 A SSIGNMENT p. 51 #43-61 odd omit 51-55 & Worksheet Due: Friday QUIZ Friday