Question

question
factor.
$x^2 - 11x + 18$
answer attempt 1 out of 10

Explanation:

Step1: Find two numbers

We need two numbers that multiply to \(18\) (the constant term) and add up to \(-11\) (the coefficient of \(x\)). The numbers are \(-2\) and \(-9\) because \((-2)\times(-9) = 18\) and \((-2)+(-9)=-11\).

Step2: Factor the quadratic

Using these two numbers, we can factor the quadratic \(x^{2}-11x + 18\) as \((x - 2)(x - 9)\).

Answer:

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