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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. 309 (page 551)

Divide each polynomial by the binomial.
$(p^{2} + 11 p + 16) 梅 (p + 8)$

Short Answer

Expert verified

The solution is $(p + 3 - \frac{8}{p + 8})$ .

Step by step solution

01

Step 1. Given information

Polynomial: $p^{2} + 11 p + 16$

Binomial: $p + 8$

02

Step 2. Calculation

Using long division -

$p + 3 - \frac{8}{p + 8}$

$p + 8 \overset{炉}{) p^{2} + 11 p + 16}$

$p^{2} + 8 p$

role="math" localid="1645888298441" $\overset{炉}{3 p + 16}$

$3 p + 24$

$\overset{炉}{- 8}$

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