8 8 Factoring by Grouping Essential Question How

8. 8 Factoring by Grouping Essential Question: How do you factor polynomials with four terms?

Large Polynomials • Factor binomial: use GCF/reverse distributive property • Factor trinomials: use X Factor/Extended • What do you do if it is a large polynomial? • Large Polynomials: factor by grouping – Put the terms in groups – Factor each group by GCF – Simplify

Factor by Grouping Example • 4 n 3 +8 n 2 - 5 n - 10 1) Put the terms in groups 2) Factor each group by GCF 3) Simplify

Factoring by Grouping

Practice

Factoring Completely • Factor completely means to use any method learned to simplify the problem. (All of Ch 8). • Example: 12 p 4 +10 p 3 – 36 p 2 – 30 p -Take out GCF to reduce -Factor by Grouping

Factoring Completely Examples

Practice

Summary of Factoring • Factoring any Polynomial: 1) GCF 2) If binomial, use GCF or special case 3) If trinomial, use X Factor or Extended 4) If large polynomial, use grouping 5) Check your answer

Review 1) How do you check that a polynomials is completely factored? 2) What are the benefits of looking for the GCF when factoring? 3) How do you determine which method to use for factoring? 4) What method works the best for you? Why?

Summary • Answer the essential question in detailed, complete sentences. • How do you factor polynomials with four terms? • Write 2 -4 study questions in the left column to correspond with the notes.