Question

analyze the given quantity and express it as the product of two binomials.
$x^2 + 11x + 18 = $

Explanation:

Step1: Find two numbers

We need two numbers that multiply to \(18\) and add up to \(11\). The numbers are \(2\) and \(9\) since \(2\times9 = 18\) and \(2 + 9=11\).

Step2: Factor the quadratic

Using the numbers from Step 1, we can factor \(x^{2}+11x + 18\) as \((x + 2)(x + 9)\).

Answer:

\((x + 2)(x + 9)\)