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

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.8 Division of Polynomials - 4.8 Exercise Set - Page 291: 35

Answer

$$t^2-3t+1$$

Work Step by Step

In order to divide by a binomial, we first factor the numerator. Next, we look for common terms in the numerator and the denominator. Finally, we cancel out common terms to get the final answer. Doing this, we find: $$\frac{2t^3-9t^2+11t-3}{2t-3} \\ \frac{\left(2t-3\right)\left(t^2-3t+1\right)}{2t-3} \\ t^2-3t+1$$
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