Question

Add or subtract the following polynomials: (3x^2+9x−6)−(2x^3−4x^2+6x−4). Please explain how you found your answer.

Answer 1

`(3x^2+9x-6)-(2x^3-4x^2+6x-4)`

Now we'll distribute the minus sign and sort the terms by degree:


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

Now we add up the like terms and we're done.


`= -2x^3 + 7x^2 + 3x -2`