# 7: Factoring Expressions and Solving by Factoring

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## Learning Objectives

By the end of this chapter, the student should be able to

• Factor a greatest common factor
• Factor by grouping including rearranging terms
• Factor by applying special-product formulas
• Factor trinomials by using a general strategy including by substitution
• Solve equations and applications by factoring

After multiplying polynomials, we discuss rewriting polynomials in its factored form. There are many applications to factoring polynomials in algebra. The deeper into algebra, the factoring techniques we discuss in this chapter become more valuable. We use the factored form of polynomials to help solve equations, see behaviors of graphs, work with rational expressions, and more. In the next chapter, simplifying is solely dependent on factoring and the more efficient we are at factoring, the more efficient we will be at simplifying rational expressions.

This page titled 7: Factoring Expressions and Solving by Factoring is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Darlene Diaz (ASCCC Open Educational Resources Initiative) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.