Holt Algebra Dividing Polynomials Warm Up Divide. 1. m 2 n ÷ mn x 3 y 2 ÷ 6xy 3. (3a + 6a 2 ) ÷ 3a 2 b Factor each expression. 4. 5x x p 2 – 72p + 81
Holt Algebra Dividing Polynomials 12-6Dividing Polynomials Holt Algebra 1
12-6 Dividing Polynomials Example 1: Dividing a Polynomial by a Monomial Divide (5x 3 – 20x x) ÷ 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.
Holt Algebra 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.
Holt Algebra Dividing Polynomials
Holt Algebra Dividing Polynomials Example 2A: Dividing a Polynomial by a Binomial Divide. x + 5 Factor the numerator. Divide out common factors. Simplify.
Holt Algebra Dividing Polynomials Example 2B: Dividing a Polynomial by a Binomial Divide. Factor both the numerator and denominator. Divide out common factors. Simplify.
Holt Algebra Dividing Polynomials Lesson Quiz: Part I Add or Subtract. Simplify your answer (12x 2 – 4x x) ÷ 4x) 3x 2 – x + 5 x – 2 4. x + 3 2x + 3
Holt Algebra Dividing Polynomials Lesson Quiz: Part II Divide using long division (8x 2 + 2x 3 + 7) (x + 3) (x 2 + 4x + 7) (x + 1)