College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Concept and Vocabulary Check: 5

Answer

Fill the blanks in with : 9 ... $(3x-5)$ ... $9$ ... ... $3x-5+\displaystyle \frac{9}{2x+1}$

Work Step by Step

Long Division of Polynomials 1. Arrange ... 2. Divide ... 3. Multiply ... 4. Subtract the product from the dividend. 5. Bring down the next term in the original dividend and write it next to the remainder to form a new dividend. 6. Use this new expression as the dividend and repeat this process until the remainder can no longer be divided. This will occur when the degree of the remainder (the highest exponent on a variable in the remainder) is less than the degree of the divisor. ---------- So, subtracting the product $(-10-5)$ from the dividend $(-10x+4)$ we obtain $+9=9$ Thus, the quotient is $(3x-5) $remainder is $9.$ The answer to $(6x^{2} -7x+4)\div(2x+1)$ is written as $3x-5+\displaystyle \frac{9}{2x+1}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.