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Objectives:

Factor by Grouping. Objectives: Be able to factor a polynomial by using greatest common factor, difference of squares, trinomials, and grouping. Critical Vocabulary: Polynomial, Trinomial, Difference of Squares. Example 1:. Factor 5x 5 + 30x 4 - 20x 3 - 120x 2.

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Objectives:

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  1. Factor by Grouping • Objectives: • Be able to factor a polynomial by using greatest common factor, difference of squares, trinomials, and grouping. Critical Vocabulary: Polynomial, Trinomial, Difference of Squares

  2. Example 1: Factor 5x5 + 30x4 - 20x3 - 120x2 5x2(x3 + 6x2 - 4x - 24) 5x2(x2 – 4)(x + 6) 5x2(x + 2)(x - 2)(x + 6)

  3. Example 2: Factor 6x5y2 + 3x4y3 - 6x3y4 - 3x2y5 3x2y2(2x3 + x2y - 2xy2 – y3) 3x2y2 (x2 – y2)(2x + y) 3x2y2 (x + y)(x - y)(2x + y)

  4. Example 3: Factor 24x12y3 - 24x4y3 - 54x10y3 + 54x2y3 6x2y3(4x10 - 9x8 - 4x2 + 9) 6x2y3 (4x2 – 9)(x8 - 1) 6x2y3 (2x + 3)(2x - 3) (x4 + 1)(x2 + 1)(x + 1)(x - 1)

  5. Worksheet: “Factoring: GCF, Difference of Squares, Trinomials, Grouping”

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