Question

analyze the given quantity and express it as the product of two binomials
$x^2 - 3x + 2 = $

Explanation:

Step1: Identify factors of 2

We need two numbers that multiply to 2 (the constant term) and add up to -3 (the coefficient of \(x\)). The numbers are -1 and -2 since \((-1)\times(-2) = 2\) and \((-1)+(-2)=-3\).

Step2: Factor the quadratic

Using the factors, we can write \(x^{2}-3x + 2=(x - 1)(x - 2)\).

Answer:

\((x - 1)(x - 2)\)