Step-by-step explanation:
(x-1))x³-2*x²-11*x+12((x²-x-12)
x³-x²
0-x²-11*x+12
-x²+x
0-12*x+12
-12*x+12
0 + 0
1) First see dividend first term, it is x³. To get that cancel we have to put x² in quotient.
2) Again see first term of dividend it is -x². So we added -x in quotient to get it cancelled.
3) Now dividend first term is -12*x, so we put -12 in quotient to get all cancelled.
4) Finally, remainder is zero and quotient is x²-x-12.
Thank you.
