What is the difference of the following polynomials?
6x3 – 2x2 + 4
–(2x3 + 4x – 5)
A.4x3 – 2x2 + 4x + 9
B.4x3 + 2x2 – 4x – 1
C.4x3 – 2x2 – 4x + 9
D.4x3 – 2x2 – 4x + 1
To find the difference of the two polynomials, we need to distribute the negative sign to the second polynomial and then combine like terms.
6x3 – 2x2 + 4 - (2x3 + 4x – 5)
= 6x3 – 2x2 + 4 - 2x3 - 4x + 5
= 4x3 - 2x2 - 4x + 9
Therefore, the answer is option C: 4x3 – 2x2 – 4x + 9.