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If a polynomial function f(x) has roots 4 – 13i and 5, what must be a factor of f(x)?




(x + (13 – 4i))


(x – (13 + 4i))


(x + (4 + 13i))


(x – (4 + 13i

Verified Answer :

21vsaman

The answer should be D

Answer:

factor is (x-(4-13i))

Step-by-step explanation:

If a polynomial function f(x) has roots 4 – 13i and 5

One of the complex root is 4-13i

If we have one complex  root then there should be one more complex  root

complex roots are come in pairs like (a+ib) and  (a-ib)

so another complex root for 4-13i  is 4+13i

If 'a' is a root then factor is (x-a)

4+13i is a root

so factor is (x-(4-13i))

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