Question

One of the factors of the trinomial `4x^2-4x-3` is `(2x-3)`. What is the other factor?

Answer 1

`2x+1`

Explanation:

The other factor
`(4x^2-4x-3)/(2x-3)=(2x(2x-3)+6x-4x-3)/(2x-3)`
`=(2x(2x-3)+1(2x-3))/(2x-3)=((2x-3)(2x+1))/(2x-3)=2x+1`