Write a third-degree polynomial function with real coefficients and the given zeros. (Use x as your variable.)

Question

Write a third degree polynomial function with real coefficients and The given zeros.

Write a third degree polynomial function with real coefficients and The given zeros.

Write a third degree polynomial function with real coefficients and The given zeros.

-4, 7, -i

Answer 1

Not going to happen.....

EITHER

It has to be at least degree 4

OR

It has imaginary/complex coefficients

I'll take the former case:

P(x) = (x+4)(x-7)(x+i)(x-i)

= (x^2 -3x - 28)(x^2+1)