Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.
-Degree 6; zeros: -7, 3, 7 - 5i, -3 + i
A) 7, 7 + 5i
B) 7, 7 + 5i, -3 - i
C) 7 + 5i, -3 - i
D) -7 + 5i, 3 - i

Question

Quizplus · Accepted Answer

Since the coefficients of the polynomial are real numbers, non-real zeros must occur in conjugate pairs. Given the zero 7 - 5i, its conjugate is 7 + 5i. Similarly, for the zero -3 + i, its conjugate is -3 - i. Therefore, the remaining zeros are 7 + 5i and -3 - i.

Information Is Given About a Polynomial F(x) Whose Coefficients Are