Question

How do you divide #(x^3-7x-6) / (x+1) # using polynomial long division?

Answer 1

You could use synthetic division or polynomial long division.

Explanation:

The formatting is hard for me to write on this. However, Khan academy has an excellent and short video on how you could do a problem like this using synthetic division, which is a much easier and more efficient way of doing these kinds of problems. Synthetic Division Tutorial

Answer 2

`x-8+2/(x+1)`

Explanation:

`color(white)((x)/color(black)(x+1))(x-8color(white)(-7))/(")"x^2-7x-6)`
`color(white)(5)(-(x^2-x))/(color(white)(17886770)color(white)()-8x-6)`
`color(white)(-1xx1)(-(-8x-8))/(color(white)(-xxxxxx)2)`

If you couldn't understand anything

Watch this video about polynomial long division