divide x cube minus 2 x square - x + 2 by X + 1 by long division method
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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
•••••
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