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Algebra 1 · Chapter 8 · Lesson 8.5 · Printable PDF

Factoring Completely and Choosing a Strategy Worksheet with Answer Key

5 problems on factoring completely: taking out the greatest common factor, recognizing prime polynomials, choosing a method, checking claimed factorings, mosaic tile area, and factoring a fourth-degree difference. 2 pages, with a worked answer key.

5 problems2 pagesanswer key
Printable Factoring completely and choosing a strategy worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Factor completely, taking out the greatest common factor first.
    6t^2 - 6t - 722x^3 - 50x-2y^2 - 24y - 724n^2 + 10n - 63m^2 - 6mn - 45n^2
  2. Factor completely or say the polynomial is prime, and name the method.
    x^2 - 6x - 128w^3 - 18w49 + 14t + t^2x^3 + 3x^2 + 4x + 1210x^2 + 11x + 3
  3. Check each claimed factoring and say if it is complete.
    6x^2 - 24 = (3x + 6)(2x - 4)x^4 - 81 = (x^2 + 9)(x + 3)(x - 3)2x^2 - 8x + 8 = 2(x - 2)(x + 2)4x^3 - 4x = 4x(x^2 - 1)x^3 + 4x^2 - 5x = x(x + 5)(x - 1)
  4. Hannah's mosaic tiles: factor the total area and find a tile size.
  5. Factor a fourth-degree polynomial completely and explain why it is finished.

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More Chapter 8 worksheets: Factoring