Question

factor.
$y^2 - 5y - 24$

Explanation:

Step1: Find two numbers

We need two numbers that multiply to \(-24\) and add up to \(-5\). The numbers are \(-8\) and \(3\) because \((-8)\times3 = -24\) and \(-8 + 3=-5\).

Step2: Factor the quadratic

Using the numbers found, we can factor \(y^{2}-5y - 24\) as \((y - 8)(y+3)\).

Answer:

\((y - 8)(y + 3)\)