Divide 12x5 − 36x4 − 6x3 by 6x2

Answer 1

To divide 12x^5 − 36x^4 − 6x^3 by 6x^2, we can use long division:

2x^3 - 6x^2 - x
-----------------
6x^2|12x^5 - 36x^4 - 6x^3
12x^5 - 0 - 2x^3
-----------------
- 6x^3
- 6x^3 + 0 + x
----------
- x

Therefore, the answer is:

12x^5 − 36x^4 − 6x^3 divided by 6x^2 = 2x^3 - 6x^2 - x + (-x/6x^2)

Simplifying further, we get:

12x^5 − 36x^4 − 6x^3 ÷ 6x^2 = 2x^3 - 6x^2 - x - (1/6)x