Question

Find the remainder when x3 - ax2 + 6x -a is divided by x - a.​

Answer 1

$p(x) = {x}^{3} - {ax}^{2} + {6}^{x} - a \\ when \: p(x) \: is \: divided \: by \: x - a \: the \: remainder \: is \: p(a). \\ substitute \: x = a \: in \: p(x) \\ p(a) = {a}^{3} - {a}^{3} + 6a - a = 5a \\ so \:the \: remainder \: is \: 5a.$