1. Apply the Remainder and Factor Theorems
Notes 5.5 (Day 3)
Apply the Remainder and Factor Theorems

2. Directions:
Given polynomial f(x) and a factor of f(x), factor f(x) completely.
Step 1: divide f(x) by the factor (synthetic or long division)
Step 2: the remainder should be 0 if it truly is a factor
Step 3: Factor the quotient.

3. Given polynomial f(x) and a factor of f(x), factor f(x) completely.

4. Given polynomial f(x) and a factor of f(x), factor f(x) completely.

5. Given polynomial f(x) and a factor of f(x), factor f(x) completely.

6. Directions:
Given polynomial function f and a zero of f, find the other zeros.
Here’s how it works:
If a zero is 3, then a factor of the function would be (x - 3) because x – 3 = 0, making one zero 3.
If a zero is -2, then a factor of the function would be (x+2) because x + 2 = 0, making one zero -2.

7. Given polynomial function f and a zero of f, find the other zeros.
Step 1: Divide f(x) by the concluded factor
Step 2: The remainder should be 0 if it truly is a factor
Step 3: Factor the quotient
Step 4: Remember to find the 0’s
Step 5: Set factors equal to zero and solve for the zeros

8. Given polynomial function f and a zero of f, find the other zeros.

9. Given polynomial function f and a zero of f, find the other zeros.

10. Given polynomial function f and a zero of f, find the other zeros.

11. Homework: P