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: 6

Answer

$-0.98x^2+2.8x+1.86 $

Work Step by Step

Removing the parenthesis and then combining like terms, the given expression, $ (-0.98x^2-1.56x+5.57)+(4.36x-3.71) ,$ is equivalent to \begin{array}{l}\require{cancel} -0.98x^2-1.56x+5.57+4.36x-3.71 \\= -0.98x^2+(-1.56x+4.36x)+(5.57-3.71) \\= -0.98x^2+2.8x+1.86 .\end{array} Let \begin{array}{l}\require{cancel}Y_1= (-0.98x^2-1.56x+5.57)+(4.36x-3.71) ,\\Y_2= -0.98x^2+2.8x+1.86 .\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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