Answer :
(x^3+3x^2-x+2)÷(x-1)
Here dividend is x³+3x²-x+2 and divisor is x - 1.
First step is to set the division.
Next step is to divide the first term of the dividend by the first term of the divisor.
So, [tex] \frac{x^3}{x} =x^2 [/tex]
Hence, x² goes to the quotient.
Then multiply x² with the divisror (x-1). Therefore,
x²(x -1)= x³-x² which will goes under the dividend and then we need to subtract.
Now we need to repeat this method till we get the remainder.
I have attached the complete method of long division.
Hope this helps you!
