Answer:
4
Explanation:
the division is similar to dividing 2 numbers.
6x² + 11x - 3 ÷ 2x - 1 =
first we find 6x²/2x.
that is easy, right ?
it is 3x.
now we multiply (2x - 1) by 3x, subtract that from the current left side and pull down the next term :
6x² + 11x - 3 ÷ 2x - 1 = 3x
- 6x² - 3x
---------------
0 + 14x - 3
we now find 14x/2x.
that is simply 7.
and again we multiply (2x - 1) by 7, subtract that from the current left side and pull down the next term, if there is one. if not we are finished :
6x² + 11x - 3 ÷ 2x - 1 = 3x + 7
- 6x² - 3x
---------------
0 + 14x - 3
- 14x - 7
---------------------
0 + 4 finished
so, we have something left at the bottom that is not 0. and that is our remainder : 4
officially, the result of the division is
3x + 7 + 4/(2x - 1)