Answer
$T(2-6x+x^2)=x^2-5-3x$
Work Step by Step
Since, $T$ is a linear transformation, then:
$T(2-6x+x^2)=2T(1)-6T(x)+T(x^2)\\
=2x-6(1+x)+(1+x+x^2)\\
=2x-6-6x+1+x+x^2\\
=x^2-5-3x$
Elementary Linear Algebra 7th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
1-13311-087-8
ISBN 13:
978-1-13311-087-3
Chapter 6 - Linear Transformations - 6.1 Introduction to Linear Transformations - 6.1 Exercises - Page 301: 55
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