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Factoring Polynomials

Learn how to factor polynomial expressions by exploring the concepts of difference of squares, difference/sum of cubes, and the British method. Includes step-by-step examples and practice problems.

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Factoring Polynomials

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  1. Factoring Polynomials Objectives: Be able to factor polynomial expressions. ES: Explicitly assessing information and drawing conclusions Warm-Up: Factor the following x2 – 4y2 x2y – 6xy + 9y

  2. Difference of two squares and cubes Difference of two squares Difference/Sum of two cubes

  3. Factor the following expression. What’s left 1) PULL OUT

  4. Factor the following expression. Difference of Cubes where a = x and b = 5 2)

  5. Factor the following expression. 3) Sum of Cubes where a = 3x and b = 1

  6. Factor the following expression. 4) Remember you can use “British Method” if you can’t just see the factors.

  7. Factor the following expression. 5) Or if the first step above didn’t make sense to you remember we could replace x2 with a new variable to help us factor Just don’t forget to plug back in for a!

  8. Factor the following expression. 6) Four terms, so try grouping OH NO!!! It’s a difference of squares!! Duck and cover under your desks and cower with fear!! Actually, no just recognize a=2x and b=3 and carry on calmly.

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