College algebra

Find an nth degree polynomial. N=4, 2i and 3i are zeros, f (-1)=50

asked by Shelby
  1. since complex roots come in conjugate pairs,
    f(x) = a(x-2i)(x+2i)(x-3i)(x+3i)
    = a(x^2+4)(x^2+9)

    Now use the given point to find a.

    posted by Steve

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