Question

Subtract 4x^2 + x from -9x^2 - 11x. The difference between the two polynomials is:

A. -5x^2 - 12x

B. -5x^2 + 12x

C. -13x^2 - 12x

D. -13x^2 + 12x

Answer 1

C. -13x²-12x

Step-by-step explanation:

-9x²-11x-(4x²+x)

⇒-9x²-11x-4x²-x

⇒-9x²-4x²-11x-x

⇒-13x²-12x

Answer 2

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.