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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 312 (page 551)

Divide each polynomial by the binomial.
$(z^{3} + 1) 梅 (z + 1)$

Short Answer

Expert verified

The solution is $(z^{2} - z + 1)$ .

Step by step solution

01

Step 1. Given information

Polynomial: $z^{3} + 1$

Binomial: $z + 1$

02

Step 2. Calculation

Using long division -

$z^{2} - z + 1$

role="math" localid="1645988083382" $z + 1 \overset{炉}{) z^{3} + 1}$

$z^{3} + z^{2}$

role="math" localid="1645988173888" $\overset{炉}{- z^{2} + 1}$

$- z^{2} - z$

$\overset{炉}{z + 1}$

$z + 1$

$\overset{炉}{0}$

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