What is the difference of the following polynomials?
6x^3 - 2x^2 + 4
-(2x^3 + 4x - 5)
The difference of the two polynomials is obtained by subtracting the second polynomial from the first polynomial.
6x^3 - 2x^2 + 4 - (2x^3 + 4x - 5)
= 6x^3 - 2x^2 + 4 - 2x^3 - 4x + 5
= (6 - 2)x^3 - 2x^2 - 4x + 9
= 4x^3 - 2x^2 - 4x + 9
Therefore, the difference of the two polynomials is 4x^3 - 2x^2 - 4x + 9.