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Math Help - Determine greatest factor and write each polynomial in factored form.

  1. #1
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    Determine greatest factor and write each polynomial in factored form.

    Hey guys,

    The task: Determine the greatest common factor in the terms of the given expression and write each polynomial in factored form.

    1.
    30x^2y - 24xy^3

    my answer:

    Greatest common factor of 30 and 24 is 6.

    Factored form = 6xy (5x - 4y^2)

    2.
    1/2ax + 1/2bx + 1/2cx

    Is the common factor 1 or 1/2???

    Factored form = 1x (1/2a + 1/2b + 1/2c) or 1/2x (a+b+c) ???


    Thank you.
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    Forum Admin topsquark's Avatar
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    Re: Determine greatest factor and write each polynomial in factored form.

    Quote Originally Posted by ford2008 View Post
    Hey guys,

    The task: Determine the greatest common factor in the terms of the given expression and write each polynomial in factored form.

    1.
    30x^2y - 24xy^3

    my answer:

    Greatest common factor of 30 and 24 is 6.

    Factored form = 6xy (5x - 4y^2)

    2.
    1/2ax + 1/2bx + 1/2cx

    Is the common factor 1 or 1/2???

    Factored form = 1x (1/2a + 1/2b + 1/2c) or 1/2x (a+b+c) ???


    Thank you.
    Good job on the first problem. It is correct.

    For the second one I need some feedback. Is it
    \frac{1}{2ax} + \frac{1}{2bx} + \frac{1}{2cx}

    If so, then factor what common terms are in the numerators (there are none in this case) and find the common terms for the denominator (which will be 2x).

    -Dan
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  3. #3
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    Re: Determine greatest factor and write each polynomial in factored form.

    No it is ax + bx + cx. What is the common factor in this case? or 1.
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: Determine greatest factor and write each polynomial in factored form.

    Each term has the common factor x, so pull that out.
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    Re: Determine greatest factor and write each polynomial in factored form.

    So, then in task 1 the greatest common factor should be 6xy or just 6???
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  6. #6
    MHF Contributor MarkFL's Avatar
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    Re: Determine greatest factor and write each polynomial in factored form.

    The greatest common factor in task 1 is 6xy.
    Thanks from ford2008
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  7. #7
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    Re: Determine greatest factor and write each polynomial in factored form.

    Okay, lets say I have the expression 17x^3 -51x^2

    Is the greatest common factor just 17, 17x or even 17x^2

    because 17(x^3 -3x^2) = 17x^3 -51x^2

    and 17x(x^2 -3x) = 17x^3 -51x^2

    or 17x^2(x-3) = 17x^3 -51x^2

    Which is the greatest common factor in the terms of the given expression?
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