Chapter 7: Q. 476 (page 901)

In the following exercises, factors completely:
$6 u^{2} + 3 u - 18$ .

Short Answer

Expert verified

The factors for the expression is, $3 (u + 2) (2 u - 3)$ .

Step by step solution

Step 1. Given Information.

The expression is,

$6 u^{2} + 3 u - 18$ .

Step 2. Factor completely.

Taking $3$ common out,

$6 u^{2} + 3 u - 18 = 3 (2 u^{2} + u - 6)$

Splitting the middle term such that the sum is $1$ and the product is $(- 12)$ ,

$3 (2 u^{2} + u - 6) = 3 (2 u^{2} + 4 u - 3 u - 6)$

$= 3 [(2 u^{2} + 4 u) - (3 u + 6)] = 3 [2 u (u + 2) - 3 (u + 2)] = 3 (u + 2) (2 u - 3)$

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In the following exercises, factors completely:
$6 u^{2} + 3 u - 18$ .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Factor completely.

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In the following exercises, factors completely:6u2+3u-18.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Factor completely.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Geometry

Mechanics Maths

Discrete Mathematics

Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, factors completely:
$6 u^{2} + 3 u - 18$ .