Answer to Question #100006 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, -5-i

Answer 1

Since the degree of the polynomial is 3, one real root is given and complex roots occur in pairs (the complex numbers will have equal real parts and imaginary parts are equal in magnitude but opposite in sign), the third zero is -5 + i .