12 6 Dividing Polynomials Warm Up Divide 1

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

12 -6 Dividing Polynomials Holt Algebra 11

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

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

12 -6 Dividing Polynomials Holt Algebra 1

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

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

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

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