Warm Up – do not have the same graph as your partner.

Factoring Polynomials 6-6 Factoring Polynomials SWBAT Use the Factor Theorem to determine factors of a polynomial. SWBAT Factor the sum and difference of two cubes. Holt McDougal Algebra 2 Holt Algebra 2

Factoring Techniques Technique General Case Any GCF Number of Items Technique General Case Any GCF (always check first) 2ax + 4x = 2x(a+2) 2 Difference of Squares a2 – b2 = (a – b)(a+b) Sum of Cubes a3 + b3 = (a + b)(a2 – ab + b2) Difference of Cubes a3 – b3 = (a – b)(a2 + ab + b2)

GCF 6x2y2 – 2xy2 + 6x2y Try on your own: 18x3y4 + 12x2y3 – 6xy2

Factoring by Grouping 1. x3 – x2 – 25x + 25. 2. x3 – 2x2 – 9xy + 18y. 3. 2x3y + x2y + 8x + 4.

Two or Three Terms 8x3 – 24x2 + 18x m6 – n6

Two or Three Terms x2 – 13x + 36 2x2 – 3x – 2

Write in Quadratic Form then solve x4 – 13x2 + 36 = 0 (x2)2 + 13(x)2 + 36 = 0 (x2 – 4)(x2 – 9) = 0 x = ±2 x = ± 3 12x8 – x2 + 10 Cannot do

Factoring the Sum or Difference of Two Cubes Factor the expression. 1. 4x4 + 108x 2. 125d3 – 8 3. 2x5 – 16x2

Did We Reach Our Objective? Evaluate polynomial functions. Identify general shapes of graphs.

Homework Page 353 #14-23, 30 Bring Book Tomorrow

Warm Up – Find a counterexample to the statement: a2 + b2 = (a + b)2 Explain how you would solve: |a – 3|2 - 9|a – 3| = -8 Then solve.

Factoring Polynomials 6-6 Factoring Polynomials SWBAT Use the Factor Theorem to determine factors of a polynomial. SWBAT Factor the sum and difference of two cubes. Holt McDougal Algebra 2 Holt Algebra 2

Think – Pair – Share pg 353 #1-12 10 minutes: Work on your own (no talking) 10 minutes: Check Answers with Group Each Group will share 4 answers each on certain section on board.

Page 353 #1-12

Did We Reach Our Objective? Evaluate polynomial functions. Identify general shapes of graphs.

Homework Review