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

Option D.

Step-by-step 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

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

Therefore, option D is correct.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

2

step-by-step explanation: