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Math Help - how to find the leading coefficient

  1. #1
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    how to find the leading coefficient

    A Polynomial P(x) of degree 4 has a zero of multiplicity two at x=-3, zeros at x=-1 and at x=2 and P(-2)=-3. Determine P(x).

    How do I find the leading coefficient. So far I have
    P(x)=a(x+3)^2(x+1)(x-2)

    any help would be great, thanks.
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  2. #2
    MHF Contributor red_dog's Avatar
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    P(-2)=-3\Rightarrow a(-2+3)^2(-2+1)(-2-2)=-3

    Can you continue?
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  3. #3
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    oh I see, thanks a lot!
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