Question

find the nth degree polynomial function with real coefficients n=3;2 and 2i are zeros; f(1)=-10

Answer 1

okay here is a similar question : Find the nth degree polynomial function with real coefficients satisfying the given conditions n-3;-2 and -2+3i are zeros; leading coefficient is 1

Answer 2

here is how you would solve:

Answer 3

If the coefficients are real -2-3i is also a zero.
-------
f(x) = (x-3)(x+2)((x+2)-3i)((x+2)+3i)


----
f(x) = (x^2-x-6)((x+2)^2+9)
----
f(x) = (x^2-x-6)(x^2+4x+13)