Answer:
a) 3 + 2i
Step-by-step explanation:
Complex roots come in pairs. The complex conjugate must also be a root. If 3-2i is a root, then 3+2i must also be a root.
The correct answer is option a) 3 + 2i because complex zeros must occur in conjugate pairs if a polynomial has real coefficients.
When a polynomial function has complex numbers as zeros, the conjugate pairs theorem states that if the coefficients of the polynomial are all real numbers, then the complex zeros must occur in conjugate pairs. A complex conjugate of a number is formed by changing the sign of the imaginary part of the number.
Therefore, if 3 - 2i is a zero of the function, its conjugate 3 + 2i must also be a zero of the function.
The correct answer is: a) 3 + 2i