The problem asks us to add the following polynomials: $(x^2 + 8x - 7) + (-4x^2 - 2x + 1) + (x^2 - x - 2)$. We need to simplify the expression without factoring.

1. Problem Description

The problem asks us to add the following polynomials: $(x^2 + 8x - 7) + (-4x^2 - 2x + 1) + (x^2 - x - 2)$. We need to simplify the expression without factoring.

2. Solution Steps

First, we remove the parentheses:

$x^2 + 8x - 7 - 4x^2 - 2x + 1 + x^2 - x - 2$

Next, we group like terms:

$(x^2 - 4x^2 + x^2) + (8x - 2x - x) + (-7 + 1 - 2)$

Now, we combine the like terms:

$(1 - 4 + 1)x^2 + (8 - 2 - 1)x + (-7 + 1 - 2)$

$-2x^2 + 5x - 8$

3. Final Answer

The final answer is $-2x^2 + 5x - 8$.