2. 6.1 Factoring Polynomials Goal: To factor out a common factor of a polynomial

3. Factoring (Divide) : Convert a number or expression into an equivalent expression that is the product of two or more expressions. PRIME Factors

4. Relatively prime No common factors Example: 4 and 7

5. Divisible by… 2 if last digit is an even number. 3 if the sum of the digits is divisible by 3 4 if the number formed by the last two digits is divisible by 4 5 if the number ends in 0 or 5 7 Nike Rule: “just do it” (long division) 9 if the sum of the digits  by 9 10 if the last digit is a zero.

6. Divisible by… 2 if last digit is an even number. 3 if the sum of the digits is divisible by 3 Is 97 divisible by 3? 97 is not divisible by 3

7. Divisible by… 2 if last digit is an even number. 3 if the sum of the digits is divisible by 3 Is 105 divisible by 3? 3 is a factor of 105

8. Divisible by… 2 if last digit is an even number. 3 if the sum of the digits is divisible by 3 Is 291 divisible by 3? 3 is a factor of 291

9. Divisible by… 2 if last digit is an even number. 3 if the sum of the digits is divisible by 3 Is 291 divisible by 4? 4 is a not a factor of 291 4 if the number formed by the last two digits is divisible by 4

10. Divisible by… 2 if last digit is an even number. 3 if the sum of the digits is divisible by 3 Is 932 divisible by 4? 4 is a factor of 932 4 if the number formed by the last two digits is divisible by 4

11. Is 9,365,126,210 divisible by 4? 4 is not a factor of 9,365,126,210

12. Is 3,228 divisible by 4? 4 is a factor of 3,228

13. 5(x + 3) =5x+ 15 “Factoring Polynomials” the REVERSE of the Distributive Property

14. Factor: 10x + 15 What # or variable is a factor of both terms? 2x+ 3 Check your answer!!!!!

15. Factor: 12x + 4 What # or variable is a factor of both terms? 3x+ 1 Check your answer!!!!!

16. Factor: 18x 3 + 12x 3x 2 + 2 Check your answer!!!!!

17. Factor x 2 + 7x x x + x 7 x(x + 7)

18. Factor a 2 b + 2ab a a b + 2 a b a(ab + 2b) ab(a + 2)

19. Factor 5x 5 y 4 + 20xy 3 5xy 3 (x 4 y + 4) 5xy3y3 ( )x4yx4y+ 4

20. Factor 16y 5 + 20y 3 4y 3 (4y 2 + 5)

21. Factor x 3 (9 + 25x 4 )

22. Factor 3m 3 n(4m 2 n + 3m + 2n)

23. Factor 16x(x 5 - 2x 4 - 3)

24. Factor x 2 (6x 2 - 10x + 3)

25. Factor 2a 2 (2a 2 b 4 – ab 2 + 6)

26. Which polynomial has 3x as a factor?

27. Homework Page 264 ( 10-50) even