Word Problems Involving Factorization - JSS3 Mathematics Lesson Note

Example Problem:

Tom has a rectangular garden with length 𝐿 meters and width 𝑊 meters. He wants to plant a hedge along the perimeter of the garden. Express the total length of the hedge in terms of 𝐿 and 𝑊, and then factorize the expression.

Solution:

The perimeter 𝑃 of the garden is given by:𝑃=2𝐿+2𝑊

To factorize:𝑃=2(𝐿+𝑊)

Here, 2 is a common factor that can be factored out, leaving 𝐿+𝑊 inside the parentheses.

Factorization helps simplify expressions and solve problems by breaking them down into simpler parts or identifying common factors. It is especially useful in algebraic equations and word problems where you need to find relationships between different quantities.