4x^2 + 8x - 11x + 6 - 5x^2 + 2
a. -x^2 - 3x + 8
b. -x^2 + 3x + 8
c. x^2 - 3x + 8
d. x^2 + 3x + 8

I like to change all the subtraction to addition of the negative.
4x^2 + 8x + (-11x) + 6 + (-5x^2) + 2
Now combine the like terms.
-x^2 -3x + 8

Your answer is A: -x^2 - 3x + 8

4x^2 + 8x - 11x + 6 - 5x^2 + 2
(4x^2 - 5x^2) + (8x - 11x) + 6 + 2
-x^2 - 3x + 6 + 2
-x^2 - 3x + 8

The answer is: -x^2 - 3x + 8.