Question

question
factor.
$x^2 + 2x - 15$

Explanation:

Step1: Find two numbers

We need two numbers that multiply to \(-15\) (the constant term) and add up to \(2\) (the coefficient of \(x\)). The numbers are \(5\) and \(-3\) because \(5\times(-3)=-15\) and \(5 + (-3)=2\).

Step2: Factor the quadratic

Using the numbers found, we can factor \(x^{2}+2x - 15\) as \((x + 5)(x - 3)\).

Answer:

\((x + 5)(x - 3)\)