Factoring Completely - 1
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Lesson Summary:
In this lesson, the instructor demonstrates how to factor polynomials completely by factoring out the greatest common factor and then factoring the resulting quadratic trinomials. The instructor provides several examples of different degrees of difficulty and shows different methods for factoring. The key takeaway is to always check for the greatest common factor and to keep factoring until each factor can't be factored any further.
Lesson Description:
This video demonstrates how to factor some polynomials completely by factoring out the GCF first. In these problems, after factoring out the GCF, you will get a quadratic trinomial that can be factored.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you completely factor a polynomial?
- How do you factor a polynomial completely by first factoring out the GCF?
- How do you factor x^2 - 5x + 6 completely?
- How do you factor 3x^3 - 15x^2 + 18x completely?
- How do you factor 4x^4 - 18x^3 - 10x^2 completely?
- How do you factor 100x^5m - 170x^4m + 30x^3m completely?
- How do you factor 6(3x - 5)x^2 + 33(3x - 5)x + 15(3x - 5) completely?
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Staff Review
This lesson helps you learn the idea that you must factor out a common factor or GCF from every term of a polynomial first before attempting to factor it. Sometimes, this common factor can be just a number or a variable, or sometimes it can be a polynomial expression itself. Be sure to check out this lesson if you are having trouble factoring polynomials. The final problem is especially challenging and fun!
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