When you write a polynomial in the form
[tex] p(x) = A(x-x_1)(x-x_2)\ldots(x-x_n) [/tex]
You know that you have a polynomial of degree [tex] n [/tex], which crosses the x axis at [tex] x_1,\ x_2,\ldots,x_n [/tex]
So, in your case, you have a cubic which crosses the x axis at x=-5, x=-1 and x=2.
Moreover, since A=1/2 is positive, the end behaviour of the cubic is preserved, i.e.
[tex] \displaystyle \lim_{x\to\pm\infty}p(x)=\pm\infty [/tex]
This is all the information you need to sketch a first draft of the graph.
