Answer:if 2 + √3 is an irrational root to a polynomial, then its irrational conjugate 2- √3 is also.
Step-by-step explanation:
Given : A polynomial function, f(x), with rational coefficients has roots of –2 and square root of 3.
To find : which of the following must also be a root of the function?
Solution : We have root of f(x) = 2 +√3.
By the irrational conjugates theorem : it state that states that if a + √b is an irrational root to a polynomial, then its irrational conjugate a - √b is also
root.
Therefore, if 2 + √3 is an irrational root to a polynomial, then its irrational conjugate 2- √3 is also.
