Question

33 ) $x^2 + 16x + 48$

Explanation:

Step1: Factor the quadratic

We need to factor \(x^2 + 16x + 48\). We look for two numbers that multiply to \(48\) and add up to \(16\).
The numbers \(12\) and \(4\) work because \(12\times4 = 48\) and \(12 + 4=16\).
So, \(x^2 + 16x + 48=(x + 12)(x + 4)\)
(Note: The "33)" part seems like a typo or miswriting, we focus on factoring the quadratic \(x^2+16x + 48\))

Answer:

\((x + 12)(x + 4)\)