Polynomial Function
posted by Jen on .
Could you help me with the following problem, I don't understand how to do it.
Find an nth degree polynomial function with real coefficients satisfying the given conditions.
1. n=3; 3 and i are zeros; f(2)=20

f(x) = (x3)(x1)(xa)
That function must be zero when x = 1 or 3.
Select the constant a so that f(2) = 20
(1)(1)(2a) = 20
a2 = 20
a = 22