## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 4 - Polynomials - 4.8 Division of Polynomials - 4.8 Exercise Set - Page 291: 20

#### Answer

$$1-2x^2y+3x^4y^5$$

#### Work Step by Step

In order to divide monomials, we look for common terms in the numerator and the denominator that can be canceled out. Doing this, we find: $$\frac{4x^4y-8x^6y^2+12x^8y^6}{4x^4y} \\ \frac{4yx^4\left(1-2x^2y+3x^4y^5\right)}{4x^4y} \\ 1-2x^2y+3x^4y^5$$ Note, if we wanted to check this answer, we could multiply the answer by the value we canceled out to see if that matched the original numerator.

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