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Let p(x)=x33x2+33x+35p ( x ) = - x ^ { 3 } - 3 x ^ { 2 } + 33 x + 35

question 75

Essay

Let p(x)=x33x2+33x+35p ( x ) = - x ^ { 3 } - 3 x ^ { 2 } + 33 x + 35 . Show that p(1)=0p ( - 1 ) = 0 , and use this fact to find all the zeros of p(x)p ( x ) .  

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