A certain polynomial `P(x), x in R` when divided by `x-a ,x-b and x-c` leaves remainders`a , b , and c` , resepectively. Then find remainder when `P(x)` is divided by `(x-a)(x-b)(x-c) where a, b, c` are distinct.

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.

If a polynomial f (x) is divided by (x - 3) and (x - 4) it leaves remainders as 7 and 12 respectively, then find the remainder when f (x) is divided by (x-3)(x-4)

Find the remainder when p(x)=x^3-a x^2+6x-a is divided by (x-a)dot

Find the remainder when p(x)=x^3-a x^2+6x-a is divided by (x-a)dot

Find the remainder when f(x)=x^4-3x^2+4 is divided by g(x)=x-2 is.

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

Consider an unknow polynomial which divided by (x - 3) and (x-4) leaves remainder 2 and 1, respectively. Let R(x) be the remainder when this polynomial is divided by (x-3)(x-4) . If equations R(x) = x^(2)+ ax +1 has two distint real roots, then exhaustive values of a are.

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

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