Question

Factor by grouping. $$ 9 x^{2}-6 x+3 x-2 $$

   Factor by grouping.
$$
9 x^{2}-6 x+3 x-2
$$

College Algebra

College Algebra

Michael Sullivan 10th Edition

Chapter 0, Problem 60

Instant Answer

Solved by Expert Patrick Burns

05/08/2020

Step 1

Step 1: First, we group the terms in the expression as follows: $$ (9 x^{2}-6 x)+(3 x-2) $$ Show more…

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Factor by grouping. $$ 9 x^{2}-6 x+3 x-2 $$

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Key Concepts

Factoring by Grouping

This is a method used to factor polynomials that have four or more terms by grouping terms into pairs (or sets) that share a common factor. After grouping, you can factor out the greatest common factor from each group. If the resulting expressions share a common binomial factor, you can then factor that binomial out, leading to the completely factored expression.

Extracting Common Factors

The process of extracting common factors involves identifying the greatest common factor (GCF) present in a set of terms and factoring it out. This simplification step is crucial as it often makes it easier to recognize patterns or further factor the expression, particularly when applying strategies such as factoring by grouping.

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