1. Holt Algebra 1 12-6 Dividing Polynomials Warm Up Divide. 1. m 2 n ÷ mn 4 2. 2x 3 y 2 ÷ 6xy 3. (3a + 6a 2 ) ÷ 3a 2 b Factor each expression. 4. 5x 2 + 16x + 12 5. 16p 2 – 72p + 81

2. Holt Algebra 1 12-6 Dividing Polynomials 12-6Dividing Polynomials Holt Algebra 1

3. 12-6 Dividing Polynomials Example 1: Dividing a Polynomial by a Monomial Divide (5x 3 – 20x 2 + 30x) ÷ 5x x 2 – 4x + 6 Write as a rational expression. Divide each term in the polynomial by the monomial 5x. Divide out common factors. Simplify.

4. Holt Algebra 1 12-6 Dividing Polynomials Check It Out! Example 1b Divide. (6x 3 + 2x – 15) ÷ 6x Write as a rational expression. Divide each term in the polynomial by the monomial 6x. Divide out common factors. Simplify.

5. Holt Algebra 1 12-6 Dividing Polynomials

6. Holt Algebra 1 12-6 Dividing Polynomials Example 2A: Dividing a Polynomial by a Binomial Divide. x + 5 Factor the numerator. Divide out common factors. Simplify.

7. Holt Algebra 1 12-6 Dividing Polynomials Example 2B: Dividing a Polynomial by a Binomial Divide. Factor both the numerator and denominator. Divide out common factors. Simplify.

8. Holt Algebra 1 12-6 Dividing Polynomials Lesson Quiz: Part I Add or Subtract. Simplify your answer. 1. 3. 2. (12x 2 – 4x 2 + 20x) ÷ 4x) 3x 2 – x + 5 x – 2 4. x + 3 2x + 3

9. Holt Algebra 1 12-6 Dividing Polynomials Lesson Quiz: Part II Divide using long division. 5. 6. (8x 2 + 2x 3 + 7)  (x + 3) (x 2 + 4x + 7)  (x + 1)