1. 11-3 Dividing Polynomials Hubarth Algebra

2. Divide (18x 3 + 9x 2 – 15x) by 3x 2. (18x 3 + 9x 2 – 15x)3x23x2 ÷= 1 3 x 2 = + – 18x 3 3x 2 9x23x29x23x2 15x 3x 2 = 6x 1 + 3x 0 – 5x5x = 6x + 3 – 5x5x Ex 1 Dividing Polynomials by a Monomial

3. Divide (5x 2 + 2x – 3) by (x + 2) x + 2 5x 2 + 2x – 3Divide: Think 5x 2 ÷ x = 5x. Step 1: Begin the long division process. 5x5x Align terms by their degree. So put 5x above 2x of the dividend. – 8x – 3 - (5x 2 + 10x) Ex 2 Dividing a Polynomial by a Binomial Step 2: Repeat the process: Divide, multiply, subtract, bring down. 13 The answer is 5x – 8 + 13 x + 2 5x – 8 x + 2 5x 2 + 2x – 3 -5x 2 - 10x – 8x – 3

4. Ex 3 Dividing Polynomials With a Zero Coefficient The width and area of a rectangle are shown in the figure below. What is the length? Since A = w, divide the area by the width to find the length. The length of the rectangle is (3x 2 + 2x + 3) in. 2x – 36x 3 – 5x 2 + 0x – 9 6x 3 – 9x 2 4x 2 + 0x 3x23x2 4x 2 – 6x 6x – 9 + 2x+ 3 6x – 9 0

5. Rewrite –8x – 2 + 6x 2 as 6x 2 – 8x – 2 and –1 + x as x – 1. Then divide. The answer is 6x – 2 – 4 x – 1 6x6x 6x 2 – 8x – 2 6x 2 – 6x – 2 –2x –2 –2x + 2 –4 EX 4 Rendering Terms and Dividing Polynomials

6. Practice