1. Solving polynomial equations
Today we will use factoring techniques to solve polynomial equations of higher order. The degree of the equation will help determine the number of roots.

2. Degree of a polynomial
We determine the degree by arranging the equation in standard form and look at the largest exponent.

3. Polynomial Function- Background Pattern Development
Degree = 1
Degree = 2
(3)
(4)

4. The Number of Real Zeros of a Polynomial Function
Degree
Minimum # of
Real Zeros
Maximum # of
Linear 1
Quadratic 2
Cubic 3
Quartic 4
Quintic 5
Some roots can be repeated

5. Finding the roots with algebra
We can try factoring to find roots…
Examples:

6. Finding the roots with algebra
We can try factoring to find roots…
Examples:

7. Third degree equation
Factor by grouping:

8. Third degree equation
Factor by grouping: