Q. 65.0( 1 Vote )

If x11 + 101 is divided by x + 1 then what remainder do we get.

Answer :

Let p(x) = x11 + 101 and g(x) = x + 1


By using remainder theorem put value of x + 1 = 0


x + 1 = 0


x = –1


Hence, p(– 1) will give the remainder of x11 + 101 divided by x + 1


P(– 1) = x11 + 101


P(– 1) = (–1)11 + 101


P(– 1) = 101 – 1


P(– 1) = 100


remainder is 100


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