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

a. (x+(13-4i))
b. (x-(13+4i))
c. (x+(4+13i))
d. (x-(4+13i))

Option 'D' is correct.

Step-by-Step Explanation:

Since we have given that

If a polynomial function f(x) has 2 two roots are as follows:

1) 4-13i

2)5

So, the factors of f(x) must be in the form of

Since it has one complex roots so, it will also have one conjugate root of this complex root:

so, one of the factor of f(x) must be

Hence, Option 'D' is correct.

i might be wrong but i think its a. let me know if i’m right and have a good rest of your day!