SOLUTION: Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 1, and -3 +5i as zeros. What is the remaining 0? I don't know how to find

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 1, and -3 +5i as zeros. What is the remaining 0? I don't know how to find       Log On


   



Question 149084: Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 1, and -3 +5i as zeros. What is the remaining 0?
I don't know how to find this out, your help would be appreciated.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Use the fact that complex roots ALWAYS come in conjugate pairs to go directly to your answer. If a%2Bbi is a root of the polynomial function, then a-bi is also a root.