Which polynomial represents the sum: (8x^2+5x+3)+(-5x^6=2x^5-4x^2-2x)?

Dec 26, 2016

I take it the $=$ in the second parts was meant as a $+$ (forgot the shift-button?)

Explanation:

First we lose the brackets (no sign change because of the $+$ between them), then we order by power:

$= - 5 {x}^{6} + 2 {x}^{5} + 8 {x}^{2} - 4 {x}^{2} + 5 x - 2 x + 3$

$= - 5 {x}^{6} + 2 {x}^{5} + \left(8 - 4\right) {x}^{2} + \left(5 - 2\right) x + 3$
$= - 5 {x}^{6} + 2 {x}^{5} + 4 {x}^{2} + 3 x + 3$