What is the quotient represented by the expression `\frac{8w^{2}-20w-12}{2w+1}`for all values of `w` where the expression is defined?

Question

answer choices
4w+12
4w-12
w-3
w+3

Answer 1

The quotient represented by the expression `\frac{8w^{2}-20w-12}{2w+1}` can be found by dividing `8w^{2}-20w-12` by `2w+1`.

Performing the division (either by long division or synthetic division), we get:

`4w-12`

Therefore, the correct answer choice is:
4w-12