Question

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

Answer 1

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))