SOLUTION: Suppose that a polynomial function of degree 5 with rational coefficients has the numbers {{{ 1/2 }}} , {{{ 2+ sqrt ( 7 ) }}} , {{{ 1-3i }}} as zeros. Find other zeros. I am no

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Suppose that a polynomial function of degree 5 with rational coefficients has the numbers {{{ 1/2 }}} , {{{ 2+ sqrt ( 7 ) }}} , {{{ 1-3i }}} as zeros. Find other zeros. I am no      Log On


   



Question 288832: Suppose that a polynomial function of degree 5 with rational coefficients has the numbers +1%2F2+ , +2%2B+sqrt+%28+7+%29+ , +1-3i+ as zeros. Find other zeros.

I am not positive what Degree 5 means, and although I could find the zeros through trial and error, I know there is some process a bit easier, could you show me?

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Degree five means that the highest exponent is 5 as in x^5
there will be five zeros
since 1-3i is a zero so is 1+3i
since 2+sqrt(7) is a zero so is 2-sqrt(7)
so now we have five zeros