# SOLUTION: I am working on this questions and need help. Suppose that a polynomial function of degree 5 with rational coefficients has 3, square root of 7, 7+4i as zeros. Find the other ze

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: I am working on this questions and need help. Suppose that a polynomial function of degree 5 with rational coefficients has 3, square root of 7, 7+4i as zeros. Find the other ze      Log On

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 Question 166407: I am working on this questions and need help. Suppose that a polynomial function of degree 5 with rational coefficients has 3, square root of 7, 7+4i as zeros. Find the other zeros. Any help you can provide me with is greatly appreciated. Thanks in Advance!Answer by Personal Trainer DC(4)   (Show Source): You can put this solution on YOUR website!Since the polynomial is degree 5, it has 5 zeros. Also its coefficients are all rational so its zeros must form rational coefficients. The square root of 7 (or any non-square) is irrational so we must take to be a zero as well. Also, 7+4i is imaginary and not rational so we must take its conjugate, 7-4i, to form a rational coefficient. So, your zeros are: 3, , , 7+4i, 7-4i