Math Example--Polynomial Concepts--Polynomial Expansion: Example 02

Topic

Polynomials

Description

This example illustrates the expansion of the polynomial expression x(x - 4)(x + 9). The solution is presented in a step-by-step manner, demonstrating how to expand the expression one pair of terms at a time. The final result of this expansion is x³ + 5x² - 36x.

Polynomial expansion is a key concept in algebra that involves multiplying polynomial expressions. This collection of examples serves as a valuable teaching tool by presenting various scenarios of polynomial expansion. By working through these examples, students can develop a comprehensive understanding of the expansion process and learn to apply it to different types of expressions.

The importance of multiple worked-out examples in understanding polynomial expansion cannot be overstated. Each example in this collection presents a unique combination of terms, allowing students to recognize patterns and differences in the expansion process. This repetition helps reinforce the underlying principles and builds students' confidence in their ability to expand polynomials independently.

Teacher's Script: Now, let's examine our second example of polynomial expansion. We have the expression x(x - 4)(x + 9). We'll expand this step by step, just like in our first example. Notice how we have both addition and subtraction within the parentheses this time. How do you think this will affect our final result? Remember, when we multiply terms with negative signs, we need to be extra careful with our signs in the final expression. Let's work through this together and see how the process compares to our previous example.

For a complete collection of math examples related to Polynomials click on this link: Math Examples: Polynomial Expansion Collection.