Divide using long division. Check your answer.

(x^3 + 3x^2 - x - 4) divided by (x-1)

The quotient is ___ with a remainder of ___.

Simply the answers, do not factor.

1 answer

Hard to show the steps in the format of Jiskha
but there are plenty of nice videos that show the steps for
algebraic long division.

Sal does a nice job on his Khan Academy website.
Here is a quadratic divided by a binomial, easily adapted to yours.
(copy and paste this URL)

www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-div/x2ec2f6f830c9fb89:quad-div-by-linear/v/quad-div-by-linear-with-remainder