Let $p ( x ) = - x ^ { 3 } - 3 x ^ { 2 } + 33 x + 35$

Essay

Let $p ( x ) = - x ^ { 3 } - 3 x ^ { 2 } + 33 x + 35$ . Show that $p ( - 1 ) = 0$ , and use this fact to find all the zeros of $p ( x )$ .