The question is: "Part of the graph of a polynomial function is shown. Which of the following sets contains only elements that are factors of the polynomial?"
The two answer choices left are B. {(x+1), (x-3)]} and E. {x, (x+1), (x-3)}. What is the point of the first x in answer choice E.?
A polynomials, as you are learning now, can be broken into factors of the form $(x-a)$ where $a$ is a root of the polynomial. A polynomial like $x^3-3x^2+2x$ is has roots at $0$, $1$, and $2$. Therefore, $x^3+3x^2+2x=(x-0)(x-1)(x-2)$, or $x(x-1)(x-2)$. So the $x$ would mean that the polynomial has a root at zero. Yours does not have a root at zero.