Question

3. If a polynomial equation p(x) = 0 has 3 + 4i as a solution, what other solutions must it have?

Answer 1

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.

Answer 2

It must have di 3-4 I as another solution