Type your answers to each problem in the table below. The order of the factors doesn't matter, but use parentheses around each one!

Question

x^(2)+x-12

Answer 1

To factor the quadratic expression \(x^{2} + x - 12\), we need to find two numbers that multiply to \(-12\) (the constant term) and add to \(1\) (the coefficient of \(x\)).

The numbers that fit these criteria are \(4\) and \(-3\), since:

• \(4 \times (-3) = -12\)
• \(4 + (-3) = 1\)

Therefore, we can express \(x^{2} + x - 12\) as:

\[ (x + 4)(x - 3) \]

So the factored form of the expression is \((x + 4)(x - 3)\).