Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Prerequisite Skills Diagnostic Test: 12

Answer

$x^{3}-x^{2}+x+3$

Work Step by Step

Write out equation $(x+1)(x^{2}-2x+3)$ Next you must expand the polynomial. To do this first multiply $x$ of the $(x+1)$ by $(x^{2}-2x+3)$ This gives you $(x^{3}-2x^{2}+3x)$ Second multiply the $+1$ of the $(x+1)$ by $(x^{2}-2x+3)$ This gives you $(x^{2}-2x+3)$ Now add the like terms of $(x^{3}-2x^{2}+3x)$ to $(x^{2}-2x+3)$ and you get your answer $x^{3}-x^{2}+x+3$
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