Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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### Polynomial Factoring: Factor by Grouping

#### Problem
1. Factor the polynomial \(2x^2 + 11x + 5\) by grouping.

To factor by grouping, follow these steps:

1. **Identify Grouping Candidates**: Look for terms that can be grouped into pairs.
2. **Factor Each Group**: Find the greatest common factor (GCF) of each group.
3. **Combine the Groups**: If the expressions inside the parentheses are the same, factor them out.

If needed, provide additional explanations or examples to aid understanding.
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Transcribed Image Text:### Polynomial Factoring: Factor by Grouping #### Problem 1. Factor the polynomial \(2x^2 + 11x + 5\) by grouping. To factor by grouping, follow these steps: 1. **Identify Grouping Candidates**: Look for terms that can be grouped into pairs. 2. **Factor Each Group**: Find the greatest common factor (GCF) of each group. 3. **Combine the Groups**: If the expressions inside the parentheses are the same, factor them out. If needed, provide additional explanations or examples to aid understanding.
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