# Lesson 1 - 1 Patterns & Expressions Warmup #5 1. Simplify 2. ( 3. ( Warmup #5 Solutions 1. Simplify

Warmup #5 Solutions 2. ( ( Box Method 3. ( 3

3 3 1 7x 2 2

7 7 7x 3 2 2 Homework Log Thur

Learning Objective: To factor polynomials 9/10 Hw: #106 Pg. 43 #1 51 Lesso odd, 63 87 odd n15 9/10/15 Lesson 1 5 Factoring Polynomials Day 1

Advanced Math/Trig Learning Objective To factor polynomials To recognize difference of squares

To recognize sum & difference of cubes To recognize square of a binomial

Factoring Rules Always factor out GCF first!! ax + ay = a(x + y) Difference of Squares = (x y)(x + y) Factoring Rules Square of a binomial

Factoring Rules Sum of two cubes ) Difference of two cubes ) Factor 1.

4x() GCF!!! Difference of squares 4x( 4x(x 5y)(x + 5y) Factor

2. Difference of squares (3x 5y)(3x + 5y) Factor 3. Square of a binomial

Factor 4. Square of a binomial Factor 5.

2xy( GCF!! Difference of cubes Factor 6. Sum of cubes

Factor by Grouping 7. 3 6 Rewrite middle with those two #s 6

3 3x(x + 2) 1(x + 2) (3x 1)(x + 2) 5 1 2 #s that mult to

& add to Factor by Grouping 8. 12 GCF! 12( 12( + 2x 8)

12(x(x 4) + 2(x 4)) 12(x 4)(x + 2) 8 4 2 2 #s that mult to

2 & add to Factor 9. Looks like Square of a binomial )(1) +

Difference of squares =( Factor 10. Square of binomial Difference of Squares ((4x + 1) 2y)((4x + 1) + 2y) (4x + 1 2y)(4x + 1 + 2y)

Factor 11. Factor out 1 & get Square of binomial Difference of Squares (x (2y 3)(x + (2y 3) (x 2y + 3)(x + 2y 3)

Ticket Out the Door Factor completely 8 Explain what type of special factoring type it is and how you can tell.

Homework #106 Pg. 43 1 51 odd, 63 87 odd