Question

If 4 is a root of f(x), which of the following is a factor of f(x)?

(x+4)
neither (x+4) nor (x-4)
(x-4)
(x+4) and (x-4)

Answer 1

Given:

4 is a root of f(x).

To find:

A factor of f(x).

Solution:

We know that, if c is a root of a function f(x), then (x-c) is a factor of f(x).

In the given problem, 4 is a root of f(x).

So, we have c=4.

By using the above property we can say that, (x-4) is a factor of function f(x).

Since, (x-4) is a factor of function f(x), therefore, the correct option is C.