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Algebra 1 · Chapter 8 · Lesson 8.3 · Printable PDF

Factoring When the Leading Coefficient Is Not One Worksheet with Answer Key

6 problems on factoring trinomials when the leading coefficient is not one: splitting the middle term, trial and check, negative leading coefficients, trinomials that do not factor, a garden area, and finding Lucas's error. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Factoring when the leading coefficient is not one worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Factor each trinomial by splitting the middle term and check by multiplying.
    2x^2 + 7x + 63x^2 - 11x + 65x^2 + 13x - 66x^2 - 11x - 108p^2 - 22p + 15
  2. Factor each trinomial by trial and check, showing the arrangements tried.
    7x^2 + 22x + 32x^2 - 15x + 183x^2 + 4x - 1511x^2 - 9x - 2
  3. Factor trinomials with a negative leading coefficient or two letters.
    -3x^2 + 10x + 8-10x^2 + 3x + 46x^2 + 13xy + 6y^24a^2 - 8ab - 5b^2
  4. Factor each trinomial or show it does not factor over the integers.
    3x^2 + 11x + 54x^2 + 4x - 35x^2 - 8x + 2
  5. Vegetable garden: find the side lengths from its area expression.
  6. Find the error in Lucas's splitting of the middle term.

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

Factoring when the leading coefficient is not one: the lesson ›

More Chapter 8 worksheets: Factoring