SOLUTION: Could you help tutors with this problem??Thank you Suppose that a polynomial function of degree 5 with rational coefficients has 3, sqrt. sign 7, 7+4i as zeros Find the other

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Could you help tutors with this problem??Thank you Suppose that a polynomial function of degree 5 with rational coefficients has 3, sqrt. sign 7, 7+4i as zeros Find the other      Log On


   

Question 142438: Could you help tutors with this problem??Thank you
Suppose that a polynomial function of degree 5 with rational
coefficients has 3, sqrt. sign 7, 7+4i as zeros Find the other zeros
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
complex roots (zeros) occur in conjugate pairs __ if 7+4i is a zero, then 7-4i is also a zero

for the coefficients to be rational; any irrational zeros (sqrt(7)) must have a conjugate, so -sqrt(7) is also a zero