College algebra

posted by Shelby

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

1. Steve

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.

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