Question

If a polynomial function f(x) has roots –9 and 7 – i, what must be a factor of f(x)?

Answer 1

(x-(7+I))

Explanation:

Answer 2

f(x) has roots -9, and 7 - i.

Therefore x = -9, x = 7 -i

x + 9 = 0 x - 7 + i = 0

(x + 9) must be a factor. (x + i - 7) must also be a factor.


Therefore (x + 9) and (x + i - 7) must be factors.