What is the difference of the following polynomials? 6x3 – 2x2 + 4 –(2x3 + 4x – 5)
To find the difference of the two polynomials, we will first distribute the negative sign to every term in the second polynomial and then combine like terms:
6x^3 - 2x^2 + 4 - (2x^3 + 4x - 5)
= 6x^3 - 2x^2 + 4 - 2x^3 - 4x + 5
= (6x^3 - 2x^3) - 2x^2 - 4x + (4 + 5)
= 4x^3 - 2x^2 - 4x + 9
Therefore, the difference of the two polynomials is 4x^3 - 2x^2 - 4x + 9.