nth degree polynomial

[terry don]

Find an nth degree polynomial function with real coefficients satisfying the given conditions;
n=3; 3 and i are zeros; f(2)=15
How do you solve this equation...I am lost

 

[pka]

Find an nth degree polynomial function with real coefficients satisfying the given conditions;
n=3; 3 and i are zeros; f(2)=15
How do you solve this equation...I am lost

Ii $\displaystyle i$ is a root then $\displaystyle -i$ is also a root.
So $\displaystyle f(x)=k(x-3)(x-i)(x+i)$. Find $\displaystyle k$ so $\displaystyle f(2)=15$.

 

[terry don]

ok, thanks.