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Exercises Polynomials and factoring

Example 7.14 from Elementary Algebra, 7.1 Greatest Common Factor and Factor by Grouping

Greatest Common Factor and Factor by Grouping: example 7.14

Factor: $5 q (q + 7) - 6 (q + 7)$ .

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
The GCF is the binomial $q + 7$ .

Factor the GCF, (q + 7).

Check on your own by multiplying.

Your turn

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

Factor: $4 m (m + 3) - 7 (m + 3)$ .

How did it go?

PreviousGreatest Common Factor and Factor by Grouping: example 7.13 Next Greatest Common Factor and Factor by Grouping: example 7.15

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 7.1, 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.