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Math Help - polynomials, not sure if it includes calculus

  1. #1
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    polynomials, not sure if it includes calculus

    A polynomial of degree 4 has a triple zero at x=2 and a maximum value of 81 when x=-1. Find the polynomial. Let the polynomial be a(x-2)^3(x-b)
    haf tried realli hard to find a and b except i can only get one equation out of it which is wen i substitue -1 and 81 and i get -a-ab=3 if someone could help me find the second equation i would realli appreciate it thanxx !
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  2. #2
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    The poly is maximum at x=-1. So you can get a second equation by differentiating a(x-2)^3(x-b) and setting the differential equal to zero when x=-1
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