Final answer:
To subtract, change the signs of the polynomial to be subtracted, then combine like terms. The difference between -9x^2 - 11x and 4x^2 + x is -13x^2 - 12x.
Step-by-step explanation:
To subtract 4x^2 + x from -9x^2 - 11x, we need to change the sign of every term in the polynomial we are subtracting and then combine like terms.
Starting with:
-9x^2 - 11x
+ (-4x^2 - x)
Changing the signs of the terms in the second polynomial gives us:
-9x^2 - 11x
-4x^2 - x
Combining like terms results in:
-9x^2 - 4x^2 = -13x^2
-11x - x = -12x
Therefore, the difference of the two polynomials is -13x^2 - 12x.