Math Example--Polynomial Concepts--Adding and Subtracting Binomials: Example 13

Topic

Polynomials

Description

Subtract the following binomials: (4x - (-7)) - (x + 2). The problem asks to subtract two binomials and simplify.

The solution starts by writing the expression as (4x - (-7)) - (x + 2). First, simplify the double negative: (4x + 7) - (x + 2). Now distribute the negative sign across the second binomial, resulting in (4x - x) + (7 - 2). Combine like terms: 4x - x = 3x, and 7 - 2 = 5. The final answer is 3x + 5.

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.