Factoring polynomials using GCF
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Lesson Summary:
In this lesson, you will learn how to factor polynomials using the greatest common factor (GCF). The two main steps involve finding the GCF of the numbers and variables, and then using the distributive property in reverse to factor out the GCF. The instructor offers examples and explains how to divide each term by the GCF, making for a clearer understanding of the process. By the end, you will be able to confidently factor polynomials using the GCF.
Lesson Description:
Learn how to factor polynomials using the greatest common factor.
Questions answered by this video:
- How do you factor polynomials?
- How can you factor polynomials using the greatest common factor?
- How do you expand 5x(x^2 - 3x + 2) using the distributive property?
- What are the steps for factoring polynomials?
- How do you find the GCF for terms of a polynomial?
- What is the GCF of 5x^3 - 15x^2 + 10x?
- How do you factor 5x^3 - 15x^2 + 10x?
- Once you factor out the GCF of a polynomial, how do you know what is left over in parentheses?
- How do you factor 12x + 8y - 16?
- How do you factor a polynomial that has more than one variable?
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Staff Review
This video does a great job of explaining how to factor basic polynomials by first finding the greatest common factor of all of its terms. The concept is explained in good detail and very clearly in a way that makes sense.
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