Question

1. $x^2 - 7x + 10$ and $(x - 2)(x - \square)$

Explanation:

Step1: Recall factoring quadratic

To factor \(x^2 - 7x + 10\), we need two numbers that multiply to \(10\) and add to \(-7\).

Step2: Find the two numbers

The numbers are \(-2\) and \(-5\) because \((-2)\times(-5) = 10\) and \((-2)+(-5)=-7\).
So, \(x^2 - 7x + 10=(x - 2)(x - 5)\).

Answer:

\(5\)