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

Question

2 years ago

9

– i))

1 answer:

storchak [24] · Answer 1 · 2023-09-01T09:32:52+03:00

if the roots of the polynomial function are -9 and 7 - i, then the other factor of the polynomial function is x - (7 + i)

<h3>How to determine the other factor?</h3>

The roots of the polynomial function are given as:

-9 and 7 - i

The root is 7 - i is a complex number.

This means that its conjugate must also be a root of the factor.

The conjugate of 7 - i is 7 + i

So, we have:

x = 7 + i

Equate to 0

x - (7 + i) = 0

Hence, the other factor of the function is x - (7 + i)

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