5.4 Do Now: Factor completely. 1.) x3 – 7x2 + 10x

5.4: Factoring Polynomials Algebra II Elements 5.4: Factoring Polynomials HW tomorrow: p.357 (10-28 even) Test 5.1-5.4: Thursday, 12/11

Factor by grouping 1.) x3 – 3x2 + 16x – 48 2.) y3 + 5y2 – 9y – 45

Factor by grouping 3.) x3 – 2x2 + 3x – 6 4.) x4 + x3 + 4x + 4

Do Now: Factor 2x8 + 10x5 + 12x2

5.4: Factoring Polynomials Algebra II Elements 5.4: Factoring Polynomials HW: p.357 (10-28 even) Test 5.1-5.4: Thursday, 12/11

Factoring Cubes Sum of Two Cubes a3 + b3 = (a + b)(a2 – a b + b2) Difference of Two Cubes a3 – b3 = (a – b)(a2 + a b + b2)

Factoring Cubes Sum of Two Cubes a3 + b3 = (a + b)(a2 – ab + b2) Difference of Two Cubes a3 – b3 = (a – b)(a2 + ab + b2) Examples: Factor 1.) 8x3 + 64

Factor 1.) 64x3 – 27 2.) x4 – 36

Factor 3.) 125x3 – 1 4.) 54x3 – 128

5.4: Factoring Polynomials Algebra II Elements 5.4: Factoring Polynomials HW: p.357 (32-50 even) Test 5.1-5.4: Thursday, 12/11

Factoring GCF – always check for a GCF first. Trinomial (3-terms): traditional 2 parenthesis factoring or change to grouping. Four term polynomial: factor by grouping. Difference of squares Cannot factor sum of squares Sum or Difference of cubes

Solve the equation. 1.) 3x5 + 15x = 18x3

5.4: Do Now For each polynomial expression in the table below, classify the expression as a difference of squares, difference of cubes, sum of cubes, or none of these by placing a check mark in all appropriate boxes. Then factor each polynomial completely in the space provided below the table. a. x12 – y6 b. 8x3 + 24y c. x3 + 1 Expression Difference of Squares Difference of Cubes Sum of Cubes None of these a. x12 – y6   b. 8x3 + 24y c. x3 + 1

Solve the equation. 2.) 4x5 – 40x3 + 36x = 0

Solve the equation. 3.) -27x3 + 15x2 = -6x4