Question

x^2+4x-21
your gonna make me fail so factor good

Answer 1

To factor the quadratic expression \( x^2 + 4x - 21 \), we need to find two numbers that multiply to \(-21\) (the constant term) and add to \(4\) (the coefficient of the linear term).

The two numbers that work are \(7\) and \(-3\), since:

- \(7 \times -3 = -21\)
- \(7 + (-3) = 4\)

Now we can factor the expression:

\[
x^2 + 4x - 21 = (x + 7)(x - 3)
\]

So, the factored form is \( (x + 7)(x - 3) \).