SOLUTION: Factor each polynomial completely x^3y + 2x^2y^2 + xy^2 Is the common factor X^3 ? I am haveing a problem with figureing out the CF

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Question 40439: Factor each polynomial completely
x^3y + 2x^2y^2 + xy^2
Is the common factor X^3 ? I am haveing a problem with figureing out the CF
Answer by stanbon(48569) About Me  (Show Source):
You can put this solution on YOUR website!
x^3y + 2x^2y^2 + xy^2
Look at the "x's" in each term.
x^3 in the 1st terms
x^2 in the 2nd term
x in the 3rd term
The CF is x; there is no common x^2 or any common x^3.
Now, look at the "y's" in each term.
y in the 1st term
y^2 in the 2nd term
y^2 in the 3rd term
The CF is y; there is no common y^2 in all the terms.
So the CF for your problem is xy
Therefore you get:
xy(x^2+2xy+y)
Cheers,
Stan H.