1. Before: February 6, 2018 Factor each expression. 3m(m + 5) + 4(m + 5)
16b(b - 3) + (b - 3)
Factor each polynomial by grouping.
2x³ + 8x² + 3x + 12
4n3 + 3n2 + 4n + 3

2. Are you Ready??
Which pair of factors of 8 has a sum of 9?
Which pair of factors of 30 has a sum of -17
Multiply (x + 2)(x + 3)
Multiply (r + 5)(r – 9)

3. During: Factoring x² + bx + c
Learning Target: I can factor quadratic trinomials of the form x² + bx + c when…
C is positive & b is positive
C is negative & b is positive
C is positive & b is negative
C is negative & b is negative

4. Previously, you learned how to multiply two binomials using the distributive property. In this lesson, you will learn how to factor a trinomial into two binomials.
Example:
(x + 2)(x + 5)

5. Factoring x² + bx + c
Words
Example
To factor a quadratic trinomial of the form x² + bx + c, find two factors of c whose sum is b.
x² + 9x + 18

6. “I Do” Factoring Trinomials
x² + 19x + 60
“I Do” Factoring Trinomials

7. “We Do” Factoring Trinomials
x² + 15x + 36
“We Do” Factoring Trinomials

8. “You Do” Factoring Trinomials
x² + 7x + 12
“You Do” Factoring Trinomials

9. When c is positive, its factors have the same sign
When c is positive, its factors have the same sign. The sign of b tells you whether the factors are positive or negative. When b is positive, the factors are positive, and when b is negative, the factors are negative.
x² + bx + c
(x + )(x + )
x² - bx + c
(x - )(x - )

10. “I Do” Factoring x² + bx + c When c is Positive
x² + 6x + 8
“I Do” Factoring x² + bx + c When c is Positive

11. “I Do” Factoring x² + bx + c When c is Positive
x² - 8x + 15
“I Do” Factoring x² + bx + c When c is Positive

12. “You Do” Factoring x² + bx + c When c is Positive
x² + 8x + 12
x² - 5x + 6
x² + 13x + 42
x² - 13x + 40
“You Do” Factoring x² + bx + c When c is Positive

13. When c is negative, its factors have opposite signs.
x2+bx-c x2-bx-c
(x+ ) (x- )

14. “I Do” Factoring x² + bx + c When c is Negative
x² + 7x - 18
“I Do” Factoring x² + bx + c When c is Negative

15. “I Do” Factoring x² + bx + c When c is Negative
x² - 5x - 24
“I Do” Factoring x² + bx + c When c is Negative

16. “We Do” Factoring x² + bx + c When c is Negative
x² + 2x - 15
“We Do” Factoring x² + bx + c When c is Negative

17. “We Do” Factoring x² + bx + c When c is Negative
x² - 8x - 20
“We Do” Factoring x² + bx + c When c is Negative

18. “You Do” Factoring x² + bx + c When c is Negative
x² + x – 20
x² – 3x - 18
“You Do” Factoring x² + bx + c When c is Negative

19. Homework
Page 476, #10– 15 all