What would the result of the following polynomial addition? (x^2-8)+(-2-x^2) g -6-2x^2 b 16-x^4 c -10 d 4-x

To find the result of the polynomial addition, we need to combine like terms. <br /><br />Given expression: $(x^{2}-8)+(-2-x^{2})$<br /><br />Step 1: Combine the like terms.<br />$x^{2}$ and $-x^{2}$ are like terms. When we combine them, we get $x^{2} - x^{2} = 0$.<br /><br />Step 2: Combine the constants.<br />$-8$ and $-2$ are constants. When we combine them, we get $-8 - 2 = -10$.<br /><br />Therefore, the result of the polynomial addition is $-10$.<br /><br />So, the correct answer is option c) $-10$.