How do I write a Polynomial Function of the nth term that has the given real or complex zeros without f (x)?

Question

F (x)=n=3

x=9,2i

And

F (x)n=3

x=-1,4+i

And

F(x)n=4

x=-6 is a double zero and x=2 is a double zero

Answer 1

The complex conjugate of a complex zero must also be a zero.

n = 3

Zeros 9, 2i

-2i must also be a zero

F(x) = A(x - 9)(x - 2i)(x + 2i) = A(x - 9)(x² + 4),

where A is real and A ≠ 0.

Now try to work the other 2 problems using this same reasoning.