Question

What is the quotient of (x^3-3x-2)/(x^2-x+1)

Answer 1

The working of the given problem with the long division ,method is getting answered

Answer 2

For this case we have a polynomial division given by:

`( (x ^ 3-3x-2))/((x ^ 2-x + 1))`. Where:

`(x ^ 3-3x-2)`represents the dividend.

`(x ^ 2-x + 1)`represents the divisor.

A quotient must be constructed in which each term (constructed per step) when multiplied by the divisor progressively eliminates the terms of the dividend.

When performing the division according to the above, the rest is obtained:
`-3x-3`, while the quotient is given by
`x + 1`.

Answer:

See attached image

Quotient:
`x + 1`