= x2 + 10x + 21 = x2 – 121 = 5(2x + 5) = 7x(4x + 5) = (x2 + 4) (x + 2)

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Presentation transcript:

= x2 + 10x + 21 = x2 – 121 = 5(2x + 5) = 7x(4x + 5) = (x2 + 4) (x + 2) Session 15 Warm-up Find the product. (x + 3)(x + 7) (x – 11)(x + 11) = x2 + 10x + 21 = x2 – 121 Factor. = 5(2x + 5) 3. 10x + 25 4. 28x2 + 35x 5. x3 + 2x2 + 4x + 8 = 7x(4x + 5) = (x2 + 4) (x + 2)

-12 10 7 4 What two numbers can you MULTIPLY to get the TOP and ADD to get the BOTTOM? -12 10 7 4

Factoring Trinomials when a = 1 What two numbers multiply to give you 8, but add to give you 6? 8 2 4 6

Write two sets of parenthesis and fill in the numbers. To FACTOR a trinomial means to write it as the product of two binomials. Factor x2 + 6x + 8 8 Write two sets of parenthesis and fill in the numbers. What two numbers multiply to give you the last number… 2 4 and add to give you the middle number? (x ) (x ) (x + 2) (x + 4) 6

(x - 2) (x - 1) (x ) (x ) Factor x2 - 3x + 2 2 -2 -1 -3 Ex: 2 Factor x2 - 3x + 2 (x - 2) (x - 1) (x ) (x ) What two numbers multiply to give you the last number… 2 and add to give you the middle number? -2 -1 -3

Ex: 3 Factor x2 - 2x - 8 (x - 4) (x + 2) -8 -4 2 -2

Ex: 4 Factor x2 - 5x - 14 - 14 (x - 7) (x + 2) (x ) (x ) - 7 2 - 5

(x ) (x ) (x - 8) (x - 8) Same thing as (x - 8)2 Ex: 5 Factor x2 - 16x + 64 64 (x ) (x ) (x - 8) (x - 8) Same thing as (x - 8)2 - 8 - 8 - 16

Ex: 6 Factor x2 - x - 42 - 42 (x ) (x ) (x - 7) (x + 6) - 7 + 6 - 1

Practice!! Factor each Polynomial !!!

Practice!! (x + 2)(x + 7) (x + 7)(x - 2) (x + 5)(x - 4) (x + 4)(x + 5)