Question

Find the Quotient and remainder using long division.

1. (x^3+1) / (x^2+x+2)

2. (14x^3-16x^2+10x+8) / (x-1)

Please explain because I want to learn how to do this correctly. Thanks

Answer 1

To do that for you would require a lot of graphics that are difficult to type here with the proper alignment.

Rather than explain to you how to solve those problems with polynomial long division, I think it is better to give you a website or two that will show you how to do it yourself.

Here is a good one:

http://www.purplemath.com/modules/polydiv2.htm

If that is hard to follow, Google "polynomial long division" to get other good tutorial sites.

If you have to deal with remainders, this is a better site:
://www.sosmath.com/algebra/factor/fac01/fac01.html