Let `f(x)=-x^100`. If `f(x)` is divided by `x^2+ x`, then the remainder is `r(x)`. The value of `r(10)` is

If f(x) is divided by (x – a), then the remainder is

If f(x)=x^(100)-2x+1 is divided by x^(2)-1 then the remainder is equal to

When f(x) is divided by (x-2) , the qoutient is Q (x) and the remainder is zero . And when f(x) is divided by [Q(x)-1] , the qoutient is (x-2) and the remainder is R (x) . Find the remainder R (x).

When a third degree polynomial f (x) is divided by (x-3) , the quotient is Q(x) and the remainder is zero . Also when f (x) is divided by [Q(x)+x+1] , the quotient is (x-4) and remainder is R (x) . Find the remainder R(x).

If the remainders of the polynomial f(x) when divided by x+1 and x-1 are 3, 7 ; then the remainder of f(x) when divided by x^2 - 1 is

When f(x) is divided by (x-2), the quotient is Q(x) and the remainder is zero.And when f(x) is divided by [Q(x)-1], the quotient is (x-2) and the remainder is R(x). Find the remainder R(x).

If the polynomials f(x)=x^(4)-aandg(x)=a-x^(4) be divided by x and -x respectively, the respective remainders are r_(1)andr_(2) . Also if r_(1)-r_(2)=0 , find the value of a.

Assertion (A) : The remainder of x^(3)+2x^(2)-5x-3 which is divided by x-2 is 3. Reason (R) : The remainder of the polynomial f(x) when divided by x-a is f(a)