Question

How do you long divide `(x^2+x - 17) / (x-4)`?

Answer 1

`x+5`, remainder = 3

Explanation:

Look at the first terms of the divisor and the dividend, `x` and `x^2`.
When `x` is multiplied by `x`, we get `x^2`.

This `x` is the first term of the quotient.
This `x` is multiplied by divisor, `x-4` and subtracted from the dividend.

We are now left with `5x - 17`.
Follow the same method, as above, to find the next term of the quotient.

Since no more `x` terms remain, 3 becomes the remainder.