Let be a prime number. Show the polynomial identity and more generally (1 + x) =...

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Let be a prime number. Show the polynomial identity and more generally (1 + x) = 1 + x (mod p) (1 + x)* = 1 + x* (mod p). Let be a prime number. Show the polynomial identity and more generally (1 + x) = 1 + x (mod p) (1 + x)* = 1 + x* (mod p).