Question

Explain how a four-term polynomial is factored by grouping and when a quadratic trinomial can be factored using this method. Include examples in your explanation. Note that you need to know what a four-term polynomial is and what a quadratic trinomial is in order to do this problem. There are two parts to the problem, so be sure to address both parts and provide an example for each part.

Answer 1

A four-term polynomial is factored by grouping when after grouping and doing a common monomial factoring, there is a common binomial in the two groups. A quadratic trinomial can be factored by grouping the terms and applying the addition property of equality.