SOLUTION: I need help with factoring the following expressions: Determine the greatest common factor, 2x + 12x2 - 2x3 and 27x4 + 21x2 - 9x.

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Question 149132: I need help with factoring the following expressions:
Determine the greatest common factor, 2x + 12x2 - 2x3 and
27x4 + 21x2 - 9x.

Found 2 solutions by edjones, Earlsdon:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
2x + 12x2 - 2x3
2x(1+6x-x^2)
.
27x4 + 21x2 - 9x
3x(9x^3+7x-3)
.
Ed

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the GCF of:
1) 2x%2B12x%5E2-2x%5E3
First, notice that every term There are three terms) has an x in it. The lowest power of these is x+=+x%5E1, so this can be factored from the trinomial.
2%2Ax%2B12x%2Ax-2x%5E2%2Ax Factor the x.
x%282%2B12x-2x%5E2%29 Further notice that in each term, every coefficient is a multiple of 2, so you can factor 2 from the trinomial.
x%282%2A1%2B2%2A6x-2%2Ax%5E2%29 Factor the 2.
2x%281%2B6x-x%5E2%29
2) 27x%5E4%2B21x%5E2-9x Again, every term has an x to some power, and the lowest power is 1 x+=+x%5E1. Also, every coefficient is a multiple of 3, so this can be factored.
3x%289x%5E3%2B7x-3%29