1. 5.4 Factor and Solve Polynomial Equations

2. In chapter 4 you learned how to factor the following types of quadratic expressions:
Example
General trinomial:
Perfect Square trinomial:
Difference of two squares:
Common monomial factor:
In this lesson you will learn how to factor other types of polynomials.

3. Special Factoring Patterns
Sum of two cubes
Think of F & S as First & Second terms
Difference of two cubes
Put these on a notecard or You will have to memorize them!

4. Factor
Sum of two cubes
16u5 – 250u2 =
Difference of two cubes

5. Factoring by grouping:

6. Factor:

7. Factor:

8. Solving a polynomial equation.
Solve:
Solution:
What do you notice about the number of answers and the degree of the polynomial?
Recall the zero product property from chapter 5. Set each of these factors equal to zero and solve .