Question

1. $x^2 - 11x + 28$

Explanation:

Step1: Find two numbers that multiply to 28 and add to -11.

The numbers are -4 and -7 since \((-4)\times(-7) = 28\) and \((-4)+(-7)=-11\).

Step2: Factor the quadratic expression.

Using the numbers from Step 1, we can write \(x^{2}-11x + 28=(x - 4)(x - 7)\).

Answer:

\((x - 4)(x - 7)\)