Question

question
factor.
$x^2 - 11x + 18$
answer attempt 1 out of 12

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 \((-2)\times(-9) = 18\) 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:

\((x - 2)(x - 9)\)