Question

this is the only question in this section.
question
factor.
$x^2 - 11x + 18$
answer attempt 1 out of 10

Explanation:

Step1: Find two numbers that multiply to 18 and add to -11.

We need two numbers \(a\) and \(b\) such that \(a \times b = 18\) and \(a + b = -11\). The numbers are -2 and -9 because \((-2) \times (-9) = 18\) 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:

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