Question

What must be a factor of the polynomial function f(x) graft on the coordinate plane below

X - 6

x - 3

x + 1

x +6

Answer 1

The answer is (x+6)

Explanation:

Just took the test

Hope this helps

Answer 2

Option D.

Explanation:

The given graph represents the function f(x).

If graph of a function f(x) intersect x axis at x=c, then (x-c) is a factor of f(x).

From the given graph it is clear that the graph of f(x) intersect x axis at x=-6,-3,0. It means factors of given function are

`(x-(-6))=(x+6)`

`(x-(-3))=(x+3)`

`(x-0)=x`

It means (x+6), (x+3) and x are factors of given function.

Therefore, option D is correct.