Question

find the remainder when x^2-ax^2+6x-a is divided by x-a​

Answer 1

x - a = 0

=> x = a

p(x) = x^3 - ax^2 + 6x - a

p(a) = a^3 - a(a^3) + 6a - a

p(a) = a^3 - a^3 + 6a - a

p(a) = 5a

Thus remainder is 5a