what must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
x-4
x-2
x+2
x+4

Answer:
x+2
Step-by-step explanation:
we know that
To find out the factors of a polynomial, determine the x-intercepts or zeros of the polynomial
Remember that
The x-intercepts of a polynomial are the values of x when the value of the polynomial is equal to zero
In this problem
Looking at the graph
For x=-2, f(x)=0
so
x=-2 is an x-intercept or zero of the polynomial
To find out the factor move the constant to the left side and equate to zero
[tex]x=-2[/tex]
adds 2 both sides
[tex]x+2=-2+2\\x+2=0[/tex]
therefore
The factor is (x+2)