1. 4.3 The Remainder and Factor Theorems Objective: Find the factors of polynomials using the Remainder and Factor Theorems.

2. The Remainder Theorem This looks confusing right? Is really isn’t, if you know the vocabulary of division and can follow this example. 23 4 5 – 20 3 23 = 4 ∙ 5 + 3 Dividend Quotient Divisor Remainder Dividend Quotient DivisorRemainder

3. The Remainder Theorem 23 4 5 – 20 3 23 = 4 ∙ 5 + 3 Dividend Quotient Divisor Remainder Dividend Quotient Divisor Remainder What does it mean when the remainder of a division problem is not 0? The divisor and quotients are NOT factors of the dividend.

4. The Remainder Theorem What does it mean when the remainder is 0? 20 4 5 – 20 0 20 = 4 ∙ 5 + 0 Dividend Quotient Divisor Remainder Dividend Quotient Divisor Remainder The divisor and quotients ARE factors of the dividend.

5. Is (x + 3) a factor the polynomial?

6. The Factor Theorem

8. Assignment 4.3 Practice Worksheet #1-13 4.3 pg 227: #37-39