Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.4 - Adding and Subtracting Polynomials - Exercise Set: 87

Answer

a) 4z b) 3$z^{2}$ c) -4z d) 3$z^{2}$

Work Step by Step

$a$) z+3z = z(1) + z(3) = z(1+3) = 4z .....(Taking z out as common) $b$) z$\cdot$3z = 3(z$\cdot$z) = $3z^{2}$ $c$) -z-3z = z(-1) - z(3) = z(-1-3) = z(-4) = -4z ......(Taking z out as common) $d$) (-z)(-3z) = z(-1)$\cdot$3z(-1) = (-1)(-1)(z)(3z) = $1(3z^{2}$) = $3z^{2}$ ....(Since (-1)(-1)=1)
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