Question

How do you divide: `(4x^2-10x-24)` divide by (2x+3)?

Answer 1

Have a look:

Answer 2

This could be achieved (fairly simply) by factoring
`(4x^2-10x-24)= (2x+3)(2x-8)`
but let's use this as an opportunity to practice synthetic division which can be applied in more difficult cases:
(unfortunately I can only do this as an image; I can't get proper alignment in "normal" text)