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.
- Slides: 11