If `f(x)` is a polynomial then the remainder of `f(x)` when divided by `(x-a)` is `A) f(0), B) f(a), C) f(1) ,D) f(-a)`

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

If f(x+2)=x^(2)+7x-13, then find the remainder when f(x) is divided by (x+2)

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

If f (x) is a polynomial of degree two and f(0) =4 f'(0) =3,f'' (0) 4 then f(-1) =

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))

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 f(x) is a polynomial of degree at least two with integral co-efficients then the remainder when it is divided by(x-a) (x-b) is , where a ne b (1) x[(f(a)-f(b))/(b-a)] + (af(b) -bf(a))/(a-b) (2) x[(f(a) -f(b))/(a-b)] + (af(b) -bf(a))/(a-b) (3) x[(f(b) -f(a))/(a-b)] + (af(b) -bf(a))/(a-b) (4) x [ (f(b) -f(a))/(a-b)] + (bf(a) -af(a))/(a-b)

If f(x)=x^(3)+ax+b is divisible by (x-1)^(2) then the remainder obtained when f(x) is divided by (x+2) is: