Form a polynomial, f(x), with real coefficients having the given degree and zeros.

Question

Degree 3; zeros: 1 + i and -10

Answer 1

Hint: If x = 1+i is a root, x = 1 -i must also be a root. Comples roots occur in pairs.

So (x+10), (x- 1 -i) and x -1 + i) must be factors.

Multiply all that out for a third order polynomial.