Answer to Question #100004 in Algebra for Diamond Sturdevant

Question

Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.

Degree 3; zeros: 9, -2-i

Answer 1

Since the degree is 3, there are three zeros for f(x). Given zeros are 9 and -2 - i. Since complex roots occur in pairs, the third zero is -2 + i .