1. Solving Polynomial Equations
What you’ll learn
To solve polynomials equations by factoring.
To solve polynomials equations by graphing.
Vocabulary
Sum of the cubes=
Difference of the cubes=

2. Remember: If is a factor of polynomial, then the polynomial has a value 0 when x=a. If a is a real number, then the graph of the polynomial has (a,0), as an x-intercept.
When you have a polynomial factoring that polynomial will help you to solve the equation like
So to solve a polynomial equation by factoring Write the equation in the form P(x)=0
Factor P(x). Use the Zero Property of the roots

3. Problem 1: Solving Polynomial Equation Using Factors.
What are the real or imaginary solutions of each polynomial equations?
Make equation=0 and get GCF
Make equation =0, Divide by 3 and get GCF
Factor
Use quadratic to solve
Zero property and solve for x

4. Your turn
What are the real or imaginary solutions of each equation?
Answers:

5. Take a note

6. Problem 2: Solving Polynomial Equations by Factoring
What are the real or imaginary solutions of each
polynomial equation? A.
Make the equation =0
Let then
Factor with -4 and +1
Replace back
Then
and
Two imaginary roots

7. Verify your answer with the graphic calculator
The graphs shows zero at
x=2, and x=-2. it also shows
three turning points.
This means that are imaginary
roots, which do not appear
on the graph

8. Problem 2
What are the real or imaginary solutions of each
polynomial equation? B.
Make equation =0
The three solutions are

9. Your turn
What are the real or imaginary solutions of each
polynomial equations?
Answer: c)
Answer: a)
Answer b)

10. Classwork odd Homework even
Handout