Question: Let f ( x ) = x 6 40 x 4 40 x 3 141 x 2 200 x + 420 . Sergei claims that

Let f ( x ) = x 6 40 x 4 40 x 3 141 x 2 200 x + 420 . Sergei claims that x + 2 is a factor of f ( x ) . To prove his claim, what must he show to be the value of f ( 2 ) ? f ( 2 ) =

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