Chapter 6: Q. 44 (page 572)

Factor by Grouping In the following exercises, factor by grouping.
$x^{2} - x + 4 x - 4$

Short Answer

Expert verified

The simplest polynomial is $(x - 1) (x + 4)$

Step by step solution

Step 1. Given

A polynomial is given as $x^{2} - x + 4 x - 4$

Step 2. Concept Used

First we have to find the GCF (group common factor). Then we will factor out it after that we will group the given polynomial.

Step 3. Calculation

A polynomial is given as $x^{2} - x + 4 x - 4$

Group the polynomial,

$x^{2} - x + 4 x - 4 = (x^{2} - x) + (4 x - 4)$

Factor out GCF,

$= x (x - 1) + 4 (x - 1) = (x - 1) (x + 4)$

Step 4. Verification

Multiply the factor,

$(x - 1) (x + 4) = x^{2} + 4 x - x - 4 = x^{2} - x + 4 x - 4$

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Factor by Grouping In the following exercises, factor by grouping.
$x^{2} - x + 4 x - 4$

Short Answer

Step by step solution

Step 1. Given

Step 2. Concept Used

Step 3. Calculation

Step 4. Verification

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Factor by Grouping In the following exercises, factor by grouping.x2-x+4x-4

Short Answer

Step by step solution

Step 1. Given

Step 2. Concept Used

Step 3. Calculation

Step 4. Verification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Applied Mathematics

Discrete Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Factor by Grouping In the following exercises, factor by grouping.
$x^{2} - x + 4 x - 4$