1. ## polynomial question

(5 - 2x + 3x^2 + x^3) - (-2 + x - x^3)

Combine like terms, right?
5 and -2
-2x and x
3x^2
x^3 and -x^3

3 -1x + 3x^2 - x^3

Is this right?

3. $(5 - 2x + 3x^2 + x^3) - (-2 + x - x^3)$

first remove the brackets by expanding in the minus sign.

$5 - 2x + 3x^2 + x^3+2 - x + x^3$

$2x^3+ 3x^2- 3x +7$

4. 7 - 3x + 3x^2 + x^3

Okay, that makes sense. I forgot to switch the signs.

Is this correct?

5. Okay, thanks. I wasn't sure if I was supposed to make it 2x or not. Got it.