Question

How do you long divide `(2x^2 + 17x + 35)/(x + 5)`?

Answer 1

`2x+7`

Explanation:

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

This `2x` is the first term of the quotient.
This `2x` is multiplied by divisor, `x+5` and subtracted from the dividend.

We are now left with `7x + 35`.
Follow the same method, as above, to find the next term of the quotient.