Respuesta :
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: [tex]-2x^{2}-x+6- \frac{10}{x+2} [/tex]
Synthetic Division:
-2 | -2 -5 4 2
4 2 -12
-------------------
-2 -1 6 -10
Answer: [tex]-2x^{2} - x + 6 - \frac{10}{x+2} [/tex]
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: [tex]-2x^{2}-x+6- \frac{10}{x+2} [/tex]
Synthetic Division:
-2 | -2 -5 4 2
4 2 -12
-------------------
-2 -1 6 -10
Answer: [tex]-2x^{2} - x + 6 - \frac{10}{x+2} [/tex]
