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If you mean t^2 +11t +10 then it is (t+10)(t+1) when factorized
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
(t + 7)(t - 1)
T(t + 4)
x2 is the same as x times x. In this case x = t+2 so we can say (t+2)2 is (t+2)(t+2) or t2+4t+4