Identify Coefficients in -x² - 2 = 0: Complete Component Analysis

To solve this problem, we need to identify the coefficients in the quadratic equation given by $-x^2 - 2 = 0$.

The standard form of a quadratic equation is:

$ax^2 + bx + c = 0$

In the given equation, $-x^2 - 2 = 0$, we can write it as:

$-1 \cdot x^2 + 0 \cdot x - 2 = 0$

This corresponds to the standard form with:

• Coefficient $a$: The coefficient of $x^2$ is $-1$.
• Coefficient $b$: The coefficient of $x$ is $0$, as there is no $x$ term.
• Coefficient $c$: The constant term is $-2$.

Upon examining the answer choices given, the correct choice must match these coefficients precisely.

The correct choice is:

$a = -1$, $b = 0$, $c = -2$

This matches Choice 3.