Question

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

Answer 1

$\texttt{Question - }\\\textsf{\: \: Find the reminder when x^3 - ax^2 + 6x - a is divided by x - a .}$

$\texttt{Solution - }$

   $\text{Given, }\\\text{\: \: f(x) = x^3 - ax^2 + 6x - a , and the divisor, x - a \: (or, \: x = a) }\\\textsf{\: \: f(a) = (a)^3 - a \cdot (a)^2 + 6a - a \hspace{6em} (By remainder theorem)}\\\text{\hspace{3em} = a^3 - a^3 + 5a }\\\text{\hspace{3em} = 5a}\\\\\textsf{ \therefore \: Remainder = 5a when divided by x - a }$