Question

1. make sense and persevere the area of a rectangle is given. identify the missing terms in the length and width. (x + ) x² + 11x + 28 ( + 4)

Explanation:

Step1: Factor the quadratic expression

We need to factor \(x^{2}+11x + 28\). We look for two numbers that multiply to \(28\) and add up to \(11\). The numbers are \(7\) and \(4\) since \(7\times4=28\) and \(7 + 4=11\). So \(x^{2}+11x + 28=(x + 7)(x+4)\).

Answer:

The missing terms are \(7\) and \(x\), so the length is \((x + 7)\) and the width is \((x + 4)\)