Chapter 7: Q. 110 (page 832)

In the following exercises, factor each trinomial of the form $x^{2} + b x y + c y^{2}$
$u^{2} - 8 u v - 24 v^{2}$

Short Answer

Expert verified

The factorization of the expression $u^{2} - 8 u v - 24 v^{2}$ is not factorable.

Step by step solution

Step 1. Given information

Given expression is $u^{2} - 8 u v - 24 v^{2}$

Step 2. Find the last terms of the trinomials.

The factors of the expression:

Factors of -24	Sum of factors
8, -3	8 + (-3) = 5
-8, 3	-8 + (3) = -5
6, -4	6 + (-4) = 2
-6, 4	-6 + (4) = -2
12, -2	12 + (-2) = 10
-12, 2	-12 + 2 = -10
-24, 1	-24 + 1 = -23
-1, 24	-1 + 24 = 23

Step 3. Factorization

Among the pair of numbers, there are no pairs with the sum of $- 8$

The given expression $u^{2} - 8 u v - 24 v^{2}$ cannot be simplified further.

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In the following exercises, factor each trinomial of the form $x^{2} + b x y + c y^{2}$
$u^{2} - 8 u v - 24 v^{2}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the last terms of the trinomials.

Step 3. Factorization

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In the following exercises, factor each trinomial of the form x2+bxy+cy2u2-8uv-24v2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the last terms of the trinomials.

Step 3. Factorization

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Pure Maths

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, factor each trinomial of the form $x^{2} + b x y + c y^{2}$
$u^{2} - 8 u v - 24 v^{2}$