Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.4 - Dividing Polynomials: Long Division and Synthetic Division - Exercise Set - Page 371: 81


$(x^3-5x^2+2x-1) \text{ centimeters}$

Work Step by Step

Using $A=bh$ or the forumula for the area of a parallelogram, then \begin{array}{l}\require{cancel} A=bh \\\\ x^4-23x^2+9x-5=(x+5)h \\\\ \dfrac{x^4-23x^2+9x-5}{x+5}=h .\end{array} Using the long division method, the quotient of the expression above is shown below. Hence, the height is $ (x^3-5x^2+2x-1) \text{ centimeters }.$
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