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

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asked Jun 21, 2017 59.1k views

2 Answers

Timothy Klenke · Answer 1 · 2017-06-26T23:36:50+0000

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.

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

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