Question

$x^2 - 10x + 9$
attempt 1 out of 2

Explanation:

Step1: Find two numbers

We need two numbers that multiply to \(9\) and add up to \(-10\). The numbers are \(-1\) and \(-9\) since \((-1)\times(-9) = 9\) and \((-1)+(-9)=-10\).

Step2: Factor the quadratic

Using the numbers from Step 1, we can factor \(x^{2}-10x + 9\) as \((x - 1)(x - 9)\).

Answer:

\((x - 1)(x - 9)\)