Answer:
4x - 6
Step-by-step explanation:
Remember the formula for finding the area of a parallelogram;[tex](base)*(height)=(area)[/tex]
Manipulate the equation such that it is solved for the base;
[tex](base)=\frac{(area)}{(height)}[/tex]
So the equation that needs to be solved is;
[tex]\frac{(8x^{2} + 2x - 6 )}{(2x + 2)}[/tex]
Set up the division problem and solve;
_____4x - 6___
[tex]2x + 2[/tex] | [tex]8x^{2} + 2x - 6[/tex]
[tex]-(8x^{2}+8x)[/tex]
________
-6x - 6
[tex]+ (6x + 6 )[/tex]
________
0
