Question

use factoring to write an expression for the length of the pool with the given width.
$4x + 20 = \boxed{4}(x + \boxed{20})$
so, the length of the pool is \boxed{} meters.
convince me!
how can you use the distributive property to check the factored expression? use the factored expression for example 1 in your explanation.

Explanation:

Step1: Find the GCF of 4x and 20

The greatest common factor (GCF) of \(4x\) and \(20\) is \(4\) because \(4\) divides \(4x\) ( \(4x\div4 = x\)) and \(4\) divides \(20\) ( \(20\div4 = 5\)).

Step2: Factor the expression

Using the distributive property in reverse (factoring), we can write \(4x + 20\) as \(4(x + 5)\). The incorrect value of \(20\) in the box should be \(5\), and the length of the pool (the factored binomial) is \(x + 5\).

Answer:

The length of the pool is \(x + 5\) meters.