The quadratic equation x² + 4x - 32 = 0 can be solved by factoring. Which of the following is the

To factor the quadratic equation \( x^2 + 4x - 32 = 0 \), we need to find two numbers that multiply to \(-32\) (the constant term) and add to \(4\) (the coefficient of \(x\)).

The two numbers that satisfy these conditions are \(8\) and \(-4\), since:

• \(8 \times (-4) = -32\)
• \(8 + (-4) = 4\)

Using these numbers, we can write the factored form of the quadratic equation as:

\[ (x + 8)(x - 4) = 0 \]

So, the correct answer from the provided options is:

(x + 8)(x - 4) = 0