Question

x^2+2x-8your gonna make me fail so factor good

Answer 1

To factor the quadratic expression \(x^2 + 2x - 8\), we need to find two numbers that multiply to \(-8\) (the constant term) and add to \(2\) (the coefficient of the linear term).

The two numbers that work are \(4\) and \(-2\) because:

- \(4 \times (-2) = -8\)
- \(4 + (-2) = 2\)

So we can factor the expression as follows:

\[
x^2 + 2x - 8 = (x + 4)(x - 2)
\]

Thus, the factored form of the expression \(x^2 + 2x - 8\) is:

\[
(x + 4)(x - 2)
\]