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

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)

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

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)

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

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

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

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

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 - )

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

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

“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

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

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

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

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

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

“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

Homework Page 476, #10– 15 all