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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 389 (page 737)

Divide $\frac{x^{2} - 4 x - 12}{x^{2} + 8 x + 12} 梅 \frac{x^{2} - 36}{3 x}$

Short Answer

Expert verified

The rational factor is undefined if $u = 6, u = - 5 .$

Step by step solution

Step 1. Given information

Given that the rational expression is $\frac{x^{2} - 4 x - 12}{x^{2} + 8 x + 12} 梅 \frac{x^{2} - 36}{3 x}$ and taken as $\frac{u - 3}{u^{2} - u - 30} .$

Step 2. Simplification

There is an undefined expression when the denominator will equal to zero.

$u^{2} - u - 30 = 0 u^{2} - 6 u + 5 u - 30 = 0 u (u - 6) + 5 (u - 6) = 0 (u - 6) (u + 5) = 0 u = 6, u = - 5$

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Dividex2-4x-12x2+8x+12梅x2-363x

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplification

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Divide $\frac{x^{2} - 4 x - 12}{x^{2} + 8 x + 12} 梅 \frac{x^{2} - 36}{3 x}$