Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 5 - Section 5.3 - Addition and Subtraction of Polynomials - Exercise - Page 221: 57

Answer

$$8x^5-18x^4+5x^2+1.$$

Work Step by Step

We subtract the $x^5$-terms as follows $$ 12x^5-4x^5=8x^5 $$ then subtract the $x^4$-terms as follows $$ -13x^4-5x^4=-18x^4 $$ then subtract the $x^2$-terms as follows $$ 7x^2-2x^2=5x^2 $$ then subtract the constant terms as follows $$ 0+1=1 $$ Hence the result is $$8x^5-18x^4+5x^2+1.$$
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