Question

question
factor.
$x^2 + x - 6$
answer attempt 1 out of 2

Explanation:

Step1: Find two numbers

We need two numbers that multiply to \(-6\) (the constant term) and add up to \(1\) (the coefficient of \(x\)). The numbers are \(3\) and \(-2\) because \(3\times(-2)= -6\) and \(3 + (-2)=1\).

Step2: Factor the quadratic

Using the two numbers, we can factor \(x^{2}+x - 6\) as \((x + 3)(x - 2)\).

Answer:

\((x + 3)(x - 2)\)