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Thread: polynomials help

  1. #1
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    polynomials help

    can someone help me with this question to figure it out and how to do the equation

    consider the polynomial P(x)=3x^2+3x+a

    if x-2 is a factor of P(x), what is the value of a?

    (A) -30
    (B) -18
    (C) 18
    (D) 30

  2. #2
    Cadet
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    Re: polynomials help

    Because we know x-2 is a factor, we know that P(2)=0
    So 3(2)^2+3(2)+a=0
    Therefore a=-18
    B

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  3. #3
    Senior Member integral95's Avatar
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    Re: polynomials help

    since x-2 is a factor of P(x), then by the factor theorem, P(2) = 0, use that to solve for a.
    “Smart people learn from their mistakes. But the real sharp ones learn from the mistakes of others.”
    ― Brandon Mull

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