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

If the remainders of the polynomial f(x) when divided by x-1, x-2 are 2, 5 then the remainder of f(x) when divided by (x-1)(x-2) is

If the remainder of the polynomial f(x) when divided by x-1 x-2 are 2, 3 then the remainder of f(x) when divided by (x-1)(x-2) is

If the remainders of the polynomial f(x) when divided by x+1,x+2,x-2 are 6,15,3 then the remainder of f(x) when divided by (x+1)(x+2)(x-2) is

If the remainders of the polynomial f(x)when divided by x-1,X-2,x-3 are 1,3,7 thenthe remainder of f(x) when divided by(x-1)(x-2)(x-3) is1)11 2)x-x+13)x2+x+1 4)12

The remainder when x^(45) is divided by x^(2) -1 is

Statement I: The remainder of the polynomial f(x) when divided by (x-a) is f(a) Statement II: The remainder of the polynomial f(x) when divided by (ax+b) is f(-(b)/(b))

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

Find the remainder when the polynomial x^(2)+13x+11 is divided by x - 1.

Let f(x) be a polynomial for which the remainders when divided by x-1,x-2,x-3 respectively 3,7,13 . Then the remainder of f(x) when divided by (x-1)(x-2)(x-3) is

If a polynomial f (x) is divided by (x+a) , then the remainder obtained is _______.