Posted by JERSEYGIRL on Tuesday, December 6, 2011 at 10:32pm.
Hopelessly loss in New Joisey If Anyone can help me I greatly appericate it. Anyone know how do we find the greatest common factor of a polynomial? Can you give me an example,
showing your work.
2.When finding the greatest common factor of a polynomial, can it ever be larger than the smallest
coefficient?
3. Can it ever be smaller than the smallest coefficient?
4. Can anyone Provide me an example.

Algebra  Reiny, Wednesday, December 7, 2011 at 12:12am
12x^3y^2 + 48x^6y^4  60xy^2
first look at the constant coefficients:
12, 48, 60, their hightest common factor is 12
now look at the x's
x^3 , x^6 , x , their highest common factor is x
and for the y's
y^2 , y^4, and y^2, the highest common factor is y^2
so
= 12xy^2(x^2 + 4x^5y^2  5)
always mentally expand your answer to make sure you get back the original.
Had my last term be 50xy^2
then the HCF of the coefficients would have to be only 2
With that you should be able to answer the remaining questions.
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