The conjugate which is 3 - √7 is also a root of f(x).
<h3>What is the root of a polynomial function?</h3>
The root of a polynomial function f(x) is the value of x for which f(x) = 0.
Now if a polynomial function has a root x = a + √b then the conjugate of x which is x' = a - √b is also a root of the function, f(x).
<h3>What must also be a root of f(x)?</h3>
Given that the polynomial function, f(x), with rational coefficients has roots
3 + √7, then by the above, the conjugate which is 3 - √7 is also a root of f(x).
So, 3 - √7 is also a root of f(x).
Learn more about root of a polynomial function here:
brainly.com/question/2833285
#SPJ1
