Question

Which of the following statements must be true about the polynomial function f(x)?lf 1 13 is a root of f(x), then-1- 13 is also a root of f(x)13i is also a root of f(x)lf 1 13i is a root of f(x), then 1If 13 is a root of f(x), then -13 is also a root of f(x)O lf -13 t i is a root of f(x), then 13 i is also a root of f(x).

Answer 1

If 1 + 13i is a root of f(x), then 1 – 13i is also a root of f(x).

Answer 2

' 1+13 i ' is a solution or root of f(x) then it's complex conjugate ' 1-13 i ' will also be a solution.

Explanation:

" we know that a complex root always appear in pair so for any polynomial function f(x) if 'a+i b' is a solution or root then its complex conjugate 'a-i b' is also a solution for this polynomial function f(x) ".

Here we are given that ' 1+13 i ' is a solution or root of f(x) then it's complex conjugate ' 1-13 i ' will also be a solution.