Answer:
-2 - the square root of 3i is a known root
Step-by-step explanation:
we know that
The conjugate root theorem states that if the complex number a + bi is a root of a polynomial P(x) in one variable with real coefficients, then the complex conjugate a - bi is also a root of that polynomial
we have that
The root of a function is [tex]-2+\sqrt{3}i[/tex]
so
Applying the conjugate root theorem
[tex]-2-\sqrt{3}i[/tex] ---> is also a root of the function
therefore
-2 - the square root of 3i is a known root
