SOLUTION: N=3 -2 and 2+4i are zeros; F(2)=64

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Question 982468: N=3
-2 and 2+4i are zeros;
F(2)=64
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=k%28x%2B2%29%28x-%282%2B4i%29%29%28x-%282-4i%29%29

k%28x%2B2%29%28%28x-2%29-4i%29%28%28x-2%29%2B4i%29

k%28x%2B2%29%28x%5E2-4x%2B4%2B16%29

highlight%28k%28x%2B2%29%28x%5E2-4x%2B20%29%29-----still in factored form, just not showing any imaginary terms or numbers

f%282%29=k%282%2B2%29%282%5E2-4%2A2%2B20%29=64
k%2A4%284-8%2B20%29=64
k%2A4%2816%29=64
k=64%2F%2864%29
highlight%28k=1%29