Intermediate Algebra (6th Edition)

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

Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Graphing Calculator Explorations - Page 278: 5

Answer

$7.69x^2-1.26x+5.3 $

Work Step by Step

Removing the parenthesis and then combining like terms, the given expression, $ (1.29x-5.68)+(7.69x^2-2.55x+10.98) ,$ is equivalent to \begin{array}{l}\require{cancel} 1.29x-5.68+7.69x^2-2.55x+10.98 \\= 7.69x^2+(1.29x-2.55x)+(-5.68+10.98) \\= 7.69x^2-1.26x+5.3 .\end{array} Let \begin{array}{l}\require{cancel}Y_1= (1.29x-5.68)+(7.69x^2-2.55x+10.98) ,\\Y_2= 7.69x^2-1.26x+5.3 .\end{array} Using a graphing calculator, the graphs of $Y_1$ (dotted graph) and $Y_2$ (solid graph) are shown below. Since the graphs overlap, then $Y_2$ is the correct simplification of $Y_1.$
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