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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 5.76 (page 542)

Find the quotient $(- 48 a^{8} b^{4} - 36 a^{6} b^{5}) 梅 (- 6 a^{3} b^{3})$

Short Answer

Expert verified

The quotient is $2 a^{3} b (4 a^{2} + 3 b)$

Step by step solution

01

Step 1. Given information

$(- 48 a^{8} b^{4} - 36 a^{6} b^{5}) 梅 (- 6 a^{3} b^{3})$

02

Step 2. Divide the polynomial

Rewrite as fraction

$\frac{(- 48 a^{8} b^{4} - 36 a^{6} b^{5})}{(- 6 a^{3} b^{3})}$

Divide each term by the divisor

$\frac{- 48 a^{8} b^{4}}{- 6 a^{3} b^{3}} - \frac{36 a^{6} b^{5}}{- 6 a^{3} b^{3}}$

Simplify

$2 a^{3} b (4 a^{2} + 3 b)$

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