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 n=3;4 and 4 i are zeros; f (-1)=-170

Answer 1

now since 2 real roots are given ,one imaginary root is given...it is also said that the co-efficients are real and hence , th total number of root has to be four with the other root being,-4i.
so now we hav four roots, 3,4,4i,-4i.
therefore f(x)=(x-3)(x-4)(x-4i)(x+4i)+d to find d , use the f(-1)=-170 condition.
understood?

Answer 2

so what the f(x) in standard form