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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. 308 (page 551)

Divide each polynomial by the binomial.
$(q^{2} + 2 q + 20) 梅 (q + 6)$

Short Answer

Expert verified

The solution is $(q - 4 + \frac{44}{q + 6})$ .

Step by step solution

01

Step 1. Given information

Polynomial: $q^{2} + 2 q + 20$

Binomial: $q + 6$

02

Step 2. Calculation

Using long division -

$q - 4 + \frac{44}{q + 6}$

role="math" localid="1645887772233" $q + 6 \overset{炉}{) q^{2} + 2 q + 20}$

$q^{2} + 6 q$

role="math" localid="1645887856219" $\overset{炉}{- 4 q + 20}$

$- 4 q - 24$

role="math" localid="1645887932880" $\overset{炉}{44}$

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