When `x^(200)+1` is divided by `x^2+1` then what is the remainder?

When x^(40)+2 is divided by x^(4)+1 , then what is the remainder?

When (x^5 - 1) is divided by (2x + 1), then the remainder is

R(x) is the remainder when x^(2019)-1 is divided by (x^(2)+1)(x^(2)+x+1) Then what is the value of R(4) ?

If P(x) is a real polynomial and when divided by x-1 the remainder is 10 & when it is divided by x +1 then also the remainder is 10 then the remainder when it is divided by x^2-1 will be ax + b then (3a +b)/ 2

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).

A polynomial f(x) yields a remainder of 2 when divided by x+1, and a remainder of 4 when divided by x-1. If f(x) is divided by x^(2)-1 then the remainder is

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).

Suppose p(x) is a polynomial with integer coefficients.The remainder when p(x) is divided by x-1 is 1 and the remainder when p(x) is divided cby x-4 is 10. If r(x) is the remainder when p(x) is divided by (x-1)(x-4) then find the value of r(2006)

Suppose p(x) is a polynomial with integer coefficients.The remainder when p(x) is divided by x-1 is 1 and the remainder when p(x) is divided cby x-4 is 10. If r(x) is the remainder when p(x) is divided by (x-1)(x-4) then find the value of r(2006)

When x^2 + ax + b is divided by (x - 1) , the remainder is 15 and when x^2 + bx + a is divided by (x + 1), the remainder is - 1, then the value of a^2 + b^2 is: