Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 428: 101

Answer

Factoring is the process of writing a sum of monomial terms as a product of prime polynomials.

Work Step by Step

Factoring is the process of writing a sum of monomial terms as a product of prime polynomials. A prime polynomial is one that can not be factored any further, using integer coefficients. Methods of factoring covered in this section are: - factoring the greatest common factor, - factoring in groups (more methods will be covered in the sections that follow.) Examples: $2x^{2}+4x=2x(x+2)$ $x^{2}+6x+8=(x+4)(x+2)$
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