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Exercises Polynomials and factoring

Example 10.89 from Prealgebra, 10.6 Introduction to Factoring Polynomials

Introduction to Factoring Polynomials: example 10.89

Factor: $4 x^{3} - 20 x^{2} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution

Rewrite each term.

Factor the GCF.

Check.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Factor: $2 x^{3} + 12 x^{2} .$

How did it go?

PreviousIntroduction to Factoring Polynomials: example 10.88 Next Introduction to Factoring Polynomials: example 10.90

From Prealgebra (1st edition) by OpenStax (Rice University), section 10.6, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.