Answer:
Option (d) is correct.
For the given polynomial p(x) if 3 +4i is a root then, 3 - 4i is also the root of p(x).
Step-by-step explanation:
Consider the given polynomial equation p(x) = 0
It is given that the polynomial P(x) has one root 3 + 4i
According to Complex conjugate theorem , if V is a polynomial and x + iy is a root of given polynomial then its conjugate x - iy is also the root of the polynomial.
Thus, for the given polynomial p(x) if 3 +4i is a root then, 3 - 4i is also the root of p(x).
Thus, option (d) is correct.