Question

A polynomial function, f(x), with rational coefficients has roots of –2 and . the irrational conjugates theorem states that which of the following must also be a root of the function? a) -√3

b) 2√3
c) -√2
d) 3√2

Answer 1

The irrational conjugates theorem states that if a polynomial function with rational coefficients has a root that is an irrational number, then its conjugate must also be a root.

Step-by-step explanation:

The irrational conjugates theorem states that if a polynomial function with rational coefficients has a root that is an irrational number, then its conjugate (the same number with the opposite sign) must also be a root of the function.

In this case, if -√3 is a root of the polynomial function, then √3 must also be a root.