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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