A certain polynomial `P(x)x in R` when divided by `x-a ,x-ba n dx-c` leaves remainders`a , b ,a n dc` , resepectively. Then find remainder when `P(x)` is divided by `(x-a)(x-b)(x-c)w h e r eab, c` are distinct.

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

Find the remainder when 2x^2+7x^2-x+8 is divided by x-1.

Find the remainder when x^3+4x^2-7x+6 is divided by x-1.

Consider an unknown polynomial which when divided by (x-3) and (x-4) leaves 2 and 1 as remainders, respectively, Let R(x) be the remainder when the polynomial is divided by (x-3) (x-4). If the equation R(x)= x^2+ax+1 has two distinct real roots then values of 'a' are-

Let P(x) be a polynomial, which when divided by x-3 and x-5 leaves remainders 10 and 6 respectively. If the polynomial is divided by (x-3)(x-5) then the remainder is-

Let P(x) be a polynomial, which when divided by x-3 and x-5 leaves remainders 10 and 6 respectively. If the polynomial is divided by (x-3) (x-5) then the remainder is

If the polynomial P(a)=x^(2)-2x+a be divided by (x - 3), the remainder is 0. Then a =

Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by x+1

Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by x-1/2