Find the remainder when `(x+1)^n` is divided by `(x-1)^3`.

If f(x+3)=x^(2)-7x+2 , then find the remainder when f(x) is divided by (x+1) .

Find the remainder when x^(45), is divided by x^(2)-1

Find the remainder when x^(5) is divided by x^(3)-4x

Find the remainder when x ^(3) +1 divided by (x +1)

Find the remainder when x ^(3) +1 divided by (x +1)

Find the quotient and the remainder when x^4 + 1 is divided by x-1.

The polynomial p(x)=x^(4)-2x^(3)-ax+3a-7 when divided by x+1 leaves remainder 19. Also, find the remainder when p(x) is divided by x+2.

The polynomial p(x)=x^(4)-2x^(3)-ax+3a-7 when divided by x+1 leaves remainder 19. Also, find the remainder when p(x) is divided by x+2.

If p(x)=x^4-3x^2-ax+b is a polynomial such that when it is divided by x-1 and x+1, the remainders are 5 and 19 respectively. Then find the remainder when p(x) is divided by (x-2)

Find the remainder when x^51 + 51 is divided by x + 1.