Question

58. Multiple Choice Assume that 1 + 2i is a zero of the

polynomial f with real coefficients. Which of the following statements is not true?
(A) x − (1 + 2i) is a factor of f(x).
(B) x² - 2x + 5 is a factor of f(x).
(C) x- (1 – 2i) is a factor of f(x).
(D) 1- 2i is a zero of f.
(E) The number of nonreal complex zeros of f could be 1.

Answer 1

E

Explanation:

By the conjugate root theorem, both
`1+2i` and
`1-2i` are roots of
`f`.