nth degree problem

Question

Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing​ utility, use it to graph the function and verify the real zeros and the given function value.

nequals=​3;

negative 4−4

and

4 plus 5 i4+5i

are​ zeros;

f left parenthesis 2 right parenthesis equals 174

Answer 1

The polynomial is A(x-3)x+4)(x-4-5i)(x-4+5i)

To evaluate A, plug 2 into the expression to get a number multiplied by A = 174.