SOLUTION: Factor out the greatest common factor from polynomial. x^2(2-6x)+4x(4-12x)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor out the greatest common factor from polynomial. x^2(2-6x)+4x(4-12x)      Log On


   



Question 1187866: Factor out the greatest common factor from polynomial.
x^2(2-6x)+4x(4-12x)

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52813) About Me  (Show Source):
You can put this solution on YOUR website!
.


            The precise meaning of the instruction in the post is  UNCLEAR.

            I think that the precise meaning is nonsense,  if to read it literally as it is written in the post.

            THEREFORE,  I will do what my common sense dictates to me.



x^2(2-6x) + 4x(4-12x) = x^2(2-6x) + 8x(2-6x) = (2-6x)*(x^2+8x) = 2x*(1-3x)*(x+8).      ANSWER

Solved, answered and explained.


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When you have  TWO  polynomials,  you may talk about their greatest common factor.

When you have  ONE  polynomial,  AS  IN  THIS CASE,  you  CAN  NOT  talk about the greatest common factor.


It looks like that the person,  who created this  " problem ",  has very low care/(understanding)
on what he  (or she)  does write.




Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Factor out the greatest common factor from cross%28polynomial%29 the expression.

x%5E2%282-6x%29%2B4x%284-12x%29

x%5E2%282-6x%29%2B4x%282%282-6x%29%29

x%5E2%282-6x%29%2B8x%282-6x%29

x%28x%282-6x%29%29%2B8%28x%282-6x%29%29

%28x%2B8%29%28x%282-6x%29%29

The greatest common factor of the expression is x%282-6x%29 or 2x-6x%5E2