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If f(t) = t5 + t4 + t3 + t2 + t + 1

then remainder when divided by t+1 is

f(-1)

The remainder is, therefore, (-1)5 + (-1)4 + (-1)3 + (-1)2 + (-1) + 1

= -1 + 1 - 1 + 1 - 1 + 1 = 0

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