Algebra basics (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
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.
Both terms share a common factor of , so we factor out the using the distributive property:
Want a more in-depth explanation? Check out this video.
Factor out the greatest common monomial.
The coefficients are and , and their greatest common factor is .
The variables are and , and their greatest common factor is .
Therefore, the greatest common monomial factor is .
Factoring, we get:
Want another example like this one? Check out this video.
Factor the polynomial below by its greatest common monomial factor.
Want more practice? Check out this exercise.
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