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## Algebra basics (ASL)

### Course: Algebra basics (ASL) > Unit 7

Lesson 4: Factoring polynomials by taking common factors (ASL)- Factoring with the distributive property
- Factoring polynomials by taking a common factor
- Taking common factor from binomial
- Taking common factor from trinomial
- Taking common factor: area model
- Factoring polynomials: common binomial factor
- Factor polynomials: common factor
- Factoring by common factor review

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# Factoring by common factor review

The expression 6m+15 can be factored into 3(2m+5) using the distributive property. More complex expressions like 44k^5-66k^4 can be factored in much the same way. This article provides a couple of examples and gives you a chance to try it yourself.

### Example 1

**Factor.**

Both terms share a common factor of start color #e07d10, 3, end color #e07d10, so we factor out the start color #e07d10, 3, end color #e07d10 using the distributive property:

*Want a more in-depth explanation? Check out this video.*

### Example 2

**Factor out the greatest common monomial.**

The coefficients are 44, comma, 66, comma and 77, and their greatest common factor is start color #11accd, 11, end color #11accd.

The variables are k, start superscript, 5, end superscript, comma, k, start superscript, 4, end superscript, comma and k, cubed, and their greatest common factor is start color #11accd, k, cubed, end color #11accd.

Therefore, the greatest common monomial factor is start color #11accd, 11, k, cubed, end color #11accd.

Factoring, we get:

*Want another example like this one? Check out this video.*

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