1. 5.8
Rational Zero Theorem

2. Find all solutions using rational roots:
1. Use calculator to decide which roots to test.
2. Use synthetic division to find the unknown factor (Correct if remainder = 0)
3. Repeat step 1 with this new factor until you are left with a quadratic.
4. Factor the quadratic if possible
5. Set unsolved factors to zero and solve (use the quadratic formula if you were not able to factor)

3. 1. Find all zeros of: f(x) = x3 – 7x2 + 10x + 6

4. Find all zeros of the function.
Example 2:
Find all zeros of the function.
f(x) = x3 + 3x2 – 3x – 5

5. 3. Find all zeros of:
f(x) = 2x4 + 3x3 – 3x2 + 3x – 5

6. 4. Find all zeros of:
f(x) = x4 – 3x3 – 2x2 – 6x – 8

7. Find all zeros of: f (x) = 2x4 + 5x3 – 18x2 – 19x + 42