Use the long division method to find the result when 6x^3+7x^2+20x+9 is divided by 2x+1.

Answer 1

Let's use long division to divide 6x^3 + 7x^2 + 20x + 9 by 2x + 1.

3x^2 + 2x + 8
___________________________
2x + 1 | 6x^3 + 7x^2 + 20x + 9
-(6x^3 + 3x^2)
------------------
4x^2 + 20x
-(4x^2 + 2x)
-----------------
18x + 9
-(18x + 9)
---------------
0

So the result of dividing 6x^3 + 7x^2 + 20x + 9 by 2x + 1 is 3x^2 + 2x + 8.