Construct a polynomial function with the following properties: fifth degree, 4 is a zero multiplicity of 2, -4 is the only other zero, leading coefficient is 3

Answer 1

So then there are two imaginary/complex solutions...

the polynomial function is:

P(x) = (x-4)^2(x+4)(3x^2+Bx+C)

with B^2 - 12c <0

we need two more points to determine the coefficients B and C