Question

PLEASE HELP!

Find The Quotient

2x^3 - 13x^2 + 26x - 24
————————————
X - 4

Answer 1

`(2x^3-13x^2+26x-24)/(x-4)=2x^2-5x+6`

Explanation:

Use synthetic division:

4 | 2 -13 26 -24

___ 8 -20 24__

2 -5 6 | 0

Use long division:

x-4 | 2x^3 - 13x^2 + 26x - 24

- 2x^3 - 8x^2 <-- 2x^2

-5x^2 + 26x - 24

- -5x^2 - 20x <-- -5x

6x - 24

____________6x - 24 <-- 6

0 | 2x^2 - 5x + 6

Therefore,
`(2x^3-13x^2+26x-24)/(x-4)=2x^2-5x+6`