Question

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

A) x – 6
B) x – 3
C) x + 1
D) x + 6

Answer 1

D. x + 6

Explanation:

In the given graph, we have 3 x-intercepts values, which are points at which the line intercepts the x-axis. They are, -6, -3 and 0.

Each of these x-intercepts can be written as a factor of a polynomial function as follows:

x = -6

x = -6 + 6

x + 6 = 0

x = -3

x = -3 + 3

x + 3 = 0

x = 0

Therefore, the factor of the polynomial function must be: x + 6