Algebra

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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 -

    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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