Question

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Answer 1

$x + 1 = 0 \\ x = - 1 \\ p(x) = {x}^{51} + 51 \\ \: p( - 1) = {x}^{51} + 51 \\ p( - 1) = { - 1}^{51} + 51 \\ p( - 1) = - 1 + 51 \\ p( - 1) = 50$

Answer 2

X= -1

P(-1) = (-1) ^51 + 51

= (-1) + 51

= 50

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