Question

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros.
-4,3-i
please help!!!

Answer 1

You can't have just one imaginary part, they come in conjugate pairs. You can find a polynomial degree 3 with zero's -4, 3-i and 3+i which would be worked out by:
\[(x+4)(x-(3-i))(x-(3+i))\]\[(x+4)(x^2-6x+10)\]\[x^3 -2x^2-14x+40\] Which would be a third degree polynomial with real coefficents, zero's being -4, 3-i and 3+i. Hope this helped:)