Question

when (x^11+21) is divided by x+1 the remainder is a)0 b)1 c)20 d)21
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Answer 1

Not 0. Since -1 is not a root of  x^11+21, as x^11+21 is not divisible by  x+1..

f(x)= x^11+21 ;

f(-1) =(-1)^11+21 = -1+21 =20 ;

so ,  the remainder is =20

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