What is the difference of the polynomials?
(5x3 + 4x2) – (6x2 – 2x – 9)

a. –x3 + 6x2 + 9
b. –x3 + 2x2 – 9
c. 5x3 – 2x2 – 2x – 9
d. 5x3 – 2x2 + 2x + 9

(5x³ + 4x²) - (6x² - 2x - 9)

-1(6x²) -1(-2x) -1(-9) = -6x² + 2x + 9

5x³ + 4x² - 6x² + 2x + 9

5x³ - 2x² + 2x + 9  Choice D.

If you would like to solve (5x^3 + 4x^2) - (6x^2 - 2x - 9), you can do this using the following steps:

(5x^3 + 4x^2) - (6x^2 - 2x - 9) = 5x^3 + 4x^2 - 6x^2 + 2x + 9 = 5x^3 - 2x^2 + 2x + 9

The correct result would be D. 5x^3 – 2x^2 + 2x + 9.