SOLUTION: Suppose a polynomial function of degree 4 with rational coefficients has the given numbers as zeros. Find the other zeros. 2+ei, 3 plus the square root of 2

Question 1040029: Suppose a polynomial function of degree 4 with rational coefficients has the given numbers as zeros. Find the other zeros. 2+ei, 3 plus the square root of 2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Not possible.

is a transcendental irrational number and therefore cannot be the zero of or part of the zero of a polynomial equation with rational coefficients. Therefore

is an invalid zero as is its conjugate

.

John

My calculator said it, I believe it, that settles it

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