Mathcollege
posted by Mike .
Can you please help with this one.
Find an nthdegree polynomial function with real coefficients satisfying the given conditions.
n=4
2 i and 4 i are zeros;
f(1)=85
f(x)=
(Type an expression using x as the variable. Simplify your answer.)

if it has real coefficients, then its complex roots come in conjugate pairs, meaning
f(x) = a(x2i)(x+2i)(x4i)(x+4i)
= a(x^2+4)(x^2+16)
Now just find a that makes f(1) = 85 
for n repeated independent trials, with a constant probability of success p for all trials, find the probability of exactly x success in each of them
a) n=5, p=1/3, x=4
b) n=30, p=0.6, x=22
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