Keep in mind that the graph counts in twos.
The factored form of the polynomial deals with the zeros in the graph. Identify the zeros in the graph:
Zeros at:
x = -4, (-4,0)
x = 4, (4,0)
Both values must be inputted into the answer and result in an output of 0, so the answer will be C. (x+4)(x-4).
Proof:
x = 4:
[tex](4+4) \times (4-4) = 8 \times 0 = 0[/tex]
x = -4
[tex](-4 + 4) \times (-4 - 4) = 0 \times -8 = 0[/tex]