1. WARM UP

2. Introduction to Finding all Zeros
EQ: How do we use the Fundamental Theorem of Algebra and it’s corollary to find the zeros of a polynomial?
Assessment: Students will write a summary on ways to use the Fundamental Theorem of Algebra to find the zeros of a polynomial.

3. Key Term
When a solution appears more than once this called a _______________.
repeated solution
** Note: For the equation f(x) = 0, k is a repeated solution if and only if the factor (x – k) has a degree greater than 1 when f is factored.

4. KEY CONCEPT
>
one n 2 3

5. Find the number of solutions and zeros
a. How many solutions does the equation
x3 + 5x2 + 4x + 20 = 0 have?
b. How many zeros does the function
f (x) = x4 – 8x3 + 18x2 – 27 have?

6. Beginning to find all Zeros DO NOT WRITE DOWN
Ex. Find all Zeros f (x) = x4 – 8x3 + 18x2 – 27

7. You Try It! 1. How many solutions does the equation
x4 + 5x2 – 36 = 0 have?
2. How many zeros does the function
f (x) = x3 + 7x2 + 8x – 16 have?

8. Homework
Textbook - Pg #3-9