Question

factor.
$y^2 + 9y + 20$

Explanation:

Step1: Find two numbers

We need two numbers that multiply to \(20\) (the constant term) and add up to \(9\) (the coefficient of \(y\)). The numbers \(4\) and \(5\) work because \(4\times5 = 20\) and \(4 + 5=9\).

Step2: Factor the quadratic

Using the numbers found, we can factor \(y^{2}+9y + 20\) as \((y + 4)(y + 5)\).

Answer:

\((y + 4)(y + 5)\)