Trigonometry Workbook For Dummies
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You can factor a quadratic expression to make it easier to work with. Some quadratic expressions can be made better by finding a greatest common factor (GCF). If the terms in the quadratic expression have something in common, then that can be factored out, leaving the expression easier to deal with.

Example 1: Factor the quadratic expression,

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  1. Rewrite the expression in decreasing powers of x.

    image1.png
  2. Find the GCF.

    Although the expression contains large numbers, each number can be evenly divided by 800.

  3. Factor out the GCF.

    image2.png

Example 2: Factor the quadratic expression:

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This more complicated example uses four different variables with powers of 2.

  1. Rewrite the expression in decreasing powers of x.

    Only the x appears in a term with a power of one. So, you may choose to write this as a quadratic in x.

    image4.png
  2. Find the GCF.

    image5.png
  3. Factor out the GCF.

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About This Article

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About the book author:

Mary Jane Sterling taught algebra, business calculus, geometry, and finite mathematics at Bradley University in Peoria, Illinois, for more than 30 years. She is the author of several For Dummies books, including Algebra Workbook For Dummies, Algebra II For Dummies, and Algebra II Workbook For Dummies.

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