Apply the Remainder and Factor Theorems

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Presentation transcript:

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

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.

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

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

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

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.

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

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

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

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

Homework: P 366 21-34