Math Example--Polynomial Concepts--Adding and Subtracting Binomials: Example 9

Topic

Polynomials

Description

The problem asks to subtract two binomials: (4x - 1) - (x + 8). The task is to simplify this expression by performing the subtraction operation on the two binomials.

First, rewrite the subtraction as adding the opposite: (4x - 1) + (-x - 8). Then, combine like terms: 4x - x = 3x and -1 - 8 = -9. The simplified expression is 3x - 9. Thus, the final answer is 3x - 9.

Understanding polynomials and operations with them forms a foundation for algebra. This collection of examples explores adding and subtracting binomials, helping students grasp the concepts through step-by-step procedures. Seeing the worked-out solutions in a visual format can help students better understand the transformation of polynomial terms during these operations.

Multiple examples give students the repetition needed to gain confidence in identifying like terms and performing algebraic manipulations. Practicing with various configurations of binomials helps reinforce the process and highlights common patterns in polynomial operations.

Teacher’s Script: Let's go over this example together. Notice how we first align the like terms in each binomial. By combining the x terms and the constants separately, we can simplify the expression efficiently. Take a look at each step and try explaining why each transformation happens. This will help you understand how to manage similar problems.

For a complete collection of math examples related to Polynomials click on this link: Math Examples: Adding and Subtracting Binomials Collection.