FACTORING POLYNOMIALS Honors Advanced Algebra Presentation 2-5

Warm-Up

Factoring Review GCF (Greatest Common Factor)

Factoring Review Trinomial where a = 1

Factoring Review Grouping

Factoring Review Trinomial where a > 1

Difference of Squares

Perfect Cubes

Factors of a Polynomial A linear binomial is a factor of a polynomial if it divides into the polynomial with a remainder of 0. Example: Is (x – 4) a factor of (5x 3 – 20x 2 + 4x – 16) A factor of a polynomial will result in an x-intercept on a graph at the intercept (c, 0) for a factor (x – c) or (ax – ac). Example: Find the x-intercept of a graph that has a factor of (2x – 6).

Sum or Difference of Two Cubes

Factoring Polynomials with a degree more than 2 Step 1: Factor out any GCFs Step 2: If polynomial has 4 terms, try factoring by grouping. If not, look for sum or difference of two cubes. Step 3: Continue process with quadratic factors until polynomials are unfactorable.

Factoring Examples

Factoring Examples (cont’d)

Homework P. 109, #17-22, 27-30, 32-38