Answer:
[tex]2x^3-4x^2-x+\frac{14}{x+6}[/tex]
Step-by-step explanation:
Use synthetic division:
-6 | 2 8 -25 -6 14
____-12_24_ 6_ 0
2 -4 -1 0 | 14
-6 comes from x+6=0 where x=-6
We drop the first number 2 and multiply it by -6. We then combine 8 and -12 to get -4. We repeat this process until the last column. The answer will be in coefficients with a remainder if there is one.
Therefore, the correct answer is [tex]2x^3-4x^2-x+\frac{14}{x+6}[/tex].
