SOLUTION: The greatest common factor of: 4x^3 - 8x^2 + 22x is _____x ? I understand GCF, but I have never worked GCF with exponents before... I am rather lost. Thanks for your

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: The greatest common factor of: 4x^3 - 8x^2 + 22x is _____x ? I understand GCF, but I have never worked GCF with exponents before... I am rather lost. Thanks for your      Log On

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Question 233636: The greatest common factor of:
4x^3 - 8x^2 + 22x is _____x ?

I understand GCF, but I have never worked GCF with exponents before... I am rather lost.
Thanks for your help.
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Try this!
4x%5E3-8x%5E2%2B22x Rewrite this showing the factors in each term:
highlight%28%282x%29%29%2A%282x%5E2%29-highlight%28%282x%29%29%2A%284x%29%2Bhighlight%28%282x%29%29%2A%2811%29 Factor the common factor of highlight%282x%29 to get:
highlight_green%28%282x%29%282x%5E2-4x%2B11%29%29
The answer is:
The GCF of 4x%5E3-8x%5E2%2B22x is 2x