Question

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Explanation:

Set the function to zero

To find the roots of the function \(f(x) = x^2 - 2x - 3\), we set \(f(x) = 0\):

$$ x^2 - 2x - 3 = 0 $$

Factor the quadratic expression

Using the Factoring Quadratics knowledge point

$$ (x - 3)(x + 1) = 0 $$

Solve for x

Using the Zero Product Property knowledge point

$$
LATEXBLOCK0
$$

Identify the missing number

The problem states the roots are \(x = -1\) and \(x = \square\). Comparing our solutions, the missing number is \(3\).

Answer:

The roots of the function \(f(x) = x^2 - 2x - 3\) are shown. What's the missing number?

\(x = -1\) and \(x =\) <blank>3</blank>