Question

Divide -2x^3-5x^2+4x+2 by x+2

Answer 1

We want to divide -12x³ - 5x² + 4x + 2 by x+2.

We shall perform the division with two methods: long division and synthetic division.

Long Division:
-2x² - x + 6
-----------------------------
x+2 | -2x³ - 5x² + 4x + 2
-2x³ - 4x²
------------------------------
- x² + 4x + 2
- x² - 2x
---------------------
6x + 2
6x + 12
---------------
- 10
Answer:
`-2x^(2)-x+6- (10)/(x+2)`

Synthetic Division:
-2 | -2 -5 4 2
4 2 -12
-------------------
-2 -1 6 -10

Answer:
`-2x^(2) - x + 6 - (10)/(x+2)`