Step-by-step explanation:
Your problem is equivalent to
(x3 - 3x2 + x - 4)/(x-2)
The coefficients of the numerator are 1, -3, 1, -4.
The solution is as follows:
2 | 1 -3 1 -4 Set up the coefficients in decreasing power of x, and 2 is the divisor.
2 -2 -2
------------------
1 -1 -1 -6
Here are the steps:
(a) Bring down the leading coefficient of 1.
(b) 2*1=2. Add -3 and 2 to obtain -1.
(c) 2*-1=-2. Add 1 and -2 to obtain -1.
(d) -1*2=-2. Add -2 and -4 to obtain -6
The quotient has the coefficients 1,-1,-1 so it is x2 - x - 1. The remainder is -6.
Answer :
The result is x2 - x - 1 - 6/(x-2).
You can verify that the answer is correct, because
(x-2)*(x2 - x - 1) - 6 = x3 - 3x2 + x - 4
Hope this helps you
