Let's break down the subtraction step by step.

We are given:

$(x^2 + 3x + 4) - (7x^2 - 5x + 2)$

To perform this subtraction, we subtract each corresponding term from the two polynomials:

$x^2 - 7x^2 = -6x^2$

$3x - (-5x) = 3x + 5x = 8x$

$4 - 2 = 2$

Thus, the result of the subtraction is:

$-6x^2 + 8x + 2$

So, the correct answer is:

$\boxed{-6x^2 + 8x + 2}$

Let me know if you'd like further details, or if you have any other questions.

5 Related questions:

1. How do you subtract polynomials with multiple terms?
2. What is the significance of distributing the negative sign when subtracting polynomials?
3. How do you simplify expressions that have both positive and negative terms?
4. What happens when you subtract polynomials with higher powers, like $x^3$ or $x^4$?
5. How can you verify your result after performing polynomial subtraction?

Tip: Always remember to distribute the negative sign properly when subtracting polynomials to avoid sign errors.