Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.1 - Adding and Subtracting Polynomials - Exercise Set - Page 348: 43

Answer

$-\displaystyle \frac{1}{4}x^{4}-\frac{7}{15}x^{3}-0.3$

Work Step by Step

$ \begin{array}{rrrrrr} & \frac{1}{4}x^{4} & -\frac{2}{3}x^{3} & -5 & \\ +( & -\frac{1}{2}x^{4} & +\frac{1}{5}x^{3} & +4.7 & )\\ \hline & & & & \\ = & (\frac{1}{4}-\frac{1}{2})x^{4} & +(-\frac{2}{3}+\frac{1}{5})x^{3} & +(-5+4.7) & \\ & & & & \\ = & \frac{1-2}{4}x^{4} & +\frac{-10+3}{15}x^{3} & -0.3 & \\ & & & & \\ = & -\frac{1}{4}x^{4} & -\frac{7}{15}x^{3} & -0.3 & \end{array} $
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