Question

The quadratic equation x² + 4x - 32 = 0 can be solved by factoring. Which of the following is the
factored form? (1 point)
(x+4) (x-8) = 0
(x-4) (x-8) = 0
(x+4) (x + 8) = 0
(x+8) (x-4) = 0

Answer 1

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**