Skip to content Skip to sidebar Skip to footer

Use The Chart To Multiply The Binomial By The Trinomial

Binomial Trinomial Chart

Introduction

Multiplying binomials by trinomials can be challenging for some students. However, there is an easy way to solve these problems by using a chart. This article will explain how to use the chart to multiply the binomial by the trinomial in a simple and easy-to-understand manner.

The Chart

The chart is a simple table that helps you keep track of the terms as you multiply the binomial by the trinomial. The chart consists of three rows and two columns. The first row represents the terms in the binomial, while the second and third rows represent the terms in the trinomial.
Multiplication Chart Binomial Trinomial

Using The Chart

To use the chart, write the binomial in the first row, and the trinomial in the second and third rows. Then, multiply each term in the first row by each term in the second row, and write the product in the corresponding cell in the chart. Finally, add up the products in each cell to get the final answer.

Example

Let's use the chart to multiply (x + 2) by (x² - 3x + 4).
Binomial Trinomial Multiplication Example
First, we write the binomial in the first row, and the trinomial in the second and third rows.
Binomial Trinomial Multiplication Example Chart
Next, we multiply each term in the first row by each term in the second row, and write the product in the corresponding cell in the chart.
Binomial Trinomial Multiplication Example Chart Result
Finally, we add up the products in each cell to get the final answer.x³ - x² + 8x + 8Therefore, (x + 2) multiplied by (x² - 3x + 4) equals x³ - x² + 8x + 8.

Conclusion

Using the chart to multiply the binomial by the trinomial can help you solve these problems quickly and easily. By following the steps outlined in this article, you can use the chart to simplify the process and arrive at the correct answer. Practice using the chart with different examples to master this technique.

Related video of Use The Chart To Multiply The Binomial By The Trinomial