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Algebra 1 · Chapter 8 · Lesson 8.2 · Printable PDF

Factoring by Grouping Worksheet with Answer Key

6 problems on factoring by grouping: common binomial factors, four-term polynomials, fixing a wrong claim that something does not factor, checking by multiplying, a garden plot area, and finding the constant that makes grouping work. 1 page, with a worked answer key.

6 problems1 pagesanswer key
Printable Factoring by grouping worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Factor each expression by grouping and check by multiplying out.
    y^2(2y + 5) + 3(2y + 5)a^2b + 3a^2 + 5b + 156 + 9x + 2x^2 + 3x^3c^3 + 6c^2 - 5c - 30uv - 3u + 5v - 15
  2. Fill in the blanks so that every line is a true factoring.
  3. Fix Owen's grouping so the polynomial factors, and see where his claim goes wrong.
  4. Multiply out Mia's product to check it, then examine the factoring.
  5. Community garden plot: write the new area as a product by grouping.
  6. Find the number k that lets each polynomial be factored by grouping, then factor it.

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The free lesson teaches it with worked examples and practice problems.

Factoring by grouping: the lesson ›

More Chapter 8 worksheets: Factoring