Question

(x^3+3x^2-x+2)÷(x-1)

long division

Answer 1

(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,
`(x^3)/(x) =x^2`

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!