1. Using Several Methods of Factoring
Chapter 5
Section 5.10

2. Objective
Students will factor polynomials completely

3. Concept
A polynomial is factored completely when it is expressed as the product of a monomial and one or more prime polynomials.

4. Concept
Guidelines for Factoring Completely 1. Factor out the greatest monomial factor 2. Look for a pair of binomial factors 3. Make sure each binomial or trinomial factor is prime 4. Check your work

5. Concept
You cannot factor a –x2. If you have a –x2 you must first factor out a negative sign and then change all the signs in your parenthesis when you divide.

6. Example
-4n4 + 40n3 – 100n2

7. Example
5a3b2 + 3a4b – 2a2b3

8. Example
5a2 + 10ab + 5b2

9. Questions

10. Assignment
Worksheet