Question

x cube minus 2 x square minus x + 2 is divided by x minus 1 by long division

Answer 1

it is the long method.

Answer 2

Solution:

x-1)x³-2x²-x+2(x²-x-2

*** x³- x²

______________

****** -x²-x

****** -x²+x

______________

********* -2x + 2

********* -2x + 2

__________________

Remainder (0)

Dividend = x³-2x²-x+2

Divisor = x - 1

Quotient = x²-x-2

Remainder = 0

Verification:

By Division Algorithm :

quotient × divisor + remainder

= (x²-x-2)(x-1)+0

= x²(x-1)-x(x-1)-2(x-1)

= x³-x²-x²-2x+2

= x³-2x²-2x+2

= Dividend

•••••