SOLUTION: n=;4; i and 3i are; zeros; f (-1)=20

Question 1068323: n=;4;
i and 3i are; zeros;
f (-1)=20

Found 2 solutions by Boreal, Fombitz:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
the zeros are i and -i 3i and -3i, because complex roots appear in conjugate pairs.
(x^2+1) and (x^2+9) will give roots +/- i and 3i respectively.
the polynomial is a(x^4+10x^2+9)
f(-1)=20
a(1+10+9)=20
so a=1
x^4+10x^2+9 is polynomial

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
I'm assuming you're looking for a polynomial with real coefficients.
Complex roots come in complex conjugate pairs for polynomials with real coefficients.

So,

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