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.

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.

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 x^3+4x^2-7x+6 is divided by x-1.

What is the remainder when x^(2018) + 2018 is divided by x-1 .

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 R(x) = px^(2) + (q-1) x + 6 has no distinct real roots and p gt 0 , then the least value of 3p + q is

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 9x ^(3) - 3x ^(2) + x-5 is divided by x - (2)/(3)

Find the remainder when p(x)=x^(3)-2x^(2)-4x-1 is divided by g(x)=x+1 .