8. 27p²q³, 45p³q4, 9p¹q³ Factor the Greatest Common Factor from a Polynomial In the following exercises, factor the greatest common factor from each polynomial. 9. 6m +9 10. 14p + 35 11.9n - 63 12.456 - 18 13. 3x² + 6x - 9 14. 4y² + 8y - 4 15. 8p² + 4p + 2 16. 10q² + 14q+ 20

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Question 8,16
# 6.1 Greatest Common Factor and Factor by Grouping

## Factor the Greatest Common Factor from a Polynomial

In the following exercises, factor the greatest common factor from each polynomial.

1. **\(9.\)** \(6m + 9\)
2. **\(10.\)** \(14p + 35\)
3. **\(11.\)** \(9n - 63\)
4. **\(12.\)** \(45b - 18\)
5. **\(13.\)** \(3x^2 + 6x - 9\)
6. **\(14.\)** \(4y^2 + 8y - 4\)
7. **\(15.\)** \(8p^2 + 4p + 2\)
8. **\(16.\)** \(10q^2 + 14q + 20\)
9. **\(17.\)** \(8y^3 + 16y^2\)
10. **\(18.\)** \(12x^3 - 10x\)
11. **\(19.\)** \(5x^3 - 15x^2 + 20x\)
12. **\(20.\)** \(8m^2 - 40m + 16\)
13. **\(21.\)** \(24x^3 - 12x^2 + 15x\)
14. **\(22.\)** \(24y^3 - 18y^2 - 30y\)

Visit [OpenStax](https://openstax.org) for more educational resources.
Transcribed Image Text:# 6.1 Greatest Common Factor and Factor by Grouping ## Factor the Greatest Common Factor from a Polynomial In the following exercises, factor the greatest common factor from each polynomial. 1. **\(9.\)** \(6m + 9\) 2. **\(10.\)** \(14p + 35\) 3. **\(11.\)** \(9n - 63\) 4. **\(12.\)** \(45b - 18\) 5. **\(13.\)** \(3x^2 + 6x - 9\) 6. **\(14.\)** \(4y^2 + 8y - 4\) 7. **\(15.\)** \(8p^2 + 4p + 2\) 8. **\(16.\)** \(10q^2 + 14q + 20\) 9. **\(17.\)** \(8y^3 + 16y^2\) 10. **\(18.\)** \(12x^3 - 10x\) 11. **\(19.\)** \(5x^3 - 15x^2 + 20x\) 12. **\(20.\)** \(8m^2 - 40m + 16\) 13. **\(21.\)** \(24x^3 - 12x^2 + 15x\) 14. **\(22.\)** \(24y^3 - 18y^2 - 30y\) Visit [OpenStax](https://openstax.org) for more educational resources.
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