## College Algebra (6th Edition)

Published by Pearson

# Chapter 3 - Polynomial and Rational Functions - Concept and Vocabulary Check: 3

#### Answer

Fill the blanks in with : $(5x-2)$ ... $2x^{2}$ ... $10x^{3}-4x^{2}$ ... $10x^{3}+6x^{2}$

#### Work Step by Step

Long Division of Polynomials: 1. Arrange the terms of both the dividend and the divisor in descending powers of any variable. 2. Divide the first term in the dividend by the first term in the divisor. The result is the first term of the quotient. 3. Multiply every term in the divisor by the first term in the quotient. Write the resulting product beneath the dividend with like terms lined up. ... ----------- Steps 1 and 2 have been completed. Now on to step 3: We multiply $(5x-2)$ with $2x^{2}$ We obtain $10x^{3}-4x^{2}$ We write this below $10x^{3}+6x^{2}$ , like term under like term.

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