Use the long division method to find the result when 6, x, cubed, plus, 11, x, squared, plus, 12, x, plus, 36x 3 +11x 2 +12x+3 is divided by 3, x, plus, 13x+1.

Answer 1

First, we rearrange the given polynomial in descending order of degrees:
36x^3 + 11x^2 + 12x + 3

Now, we set up the long division:

___(12x^2 + 7x + 3)
3x +13 │36x^3 + 11x^2 + 12x + 3
- (36x^3 + 13x^2)
_________________
- 2x^2 + 12x
- (-2x^2 -13x)
________________
25x + 3

Therefore, the result of the division is:
12x^2 + 7x + 3 + (25x + 3) / (3x + 13)