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 $p ( x )$ .

Name: 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 $p ( x )$ .
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The Answer of 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 $p ( x )$ .

Let p(x)=−x3−3x2+33x+35p ( x ) = - x ^ { 3 } - 3 x ^ { 2 } + 33 x + 35p(x)=−x3−3x2+33x+35

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