Question

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

Answer 1

Answer:

Step-by-step explanation: Let p ( x ) = x³ - ax² + 6x - a

If ( x - a ) is a factor of p( x ), then x - a = 0 ⇒ x = a .

On substituting,

p ( a ) = a³ - a ( a² ) + 6 ( a ) - a

⇒ a³ - a³ + 6a - a

⇒ 6a - a

⇒ 5a is the remainder.