Question

Subtract the polynomials using the vertical format. $$ -6 x-2 \text { from } 5 x+6 $$

Name: Problem 34, Chapter 3: Intermediate Algebra
Uploaded: 2023-03-09T08:38:09-08:00
Duration: 32 s
Channel: Jennifer Stoner
Description: Subtract the polynomials using the vertical format. -6 x-2 from 5 x+6

   Subtract the polynomials using the vertical format.
$$
-6 x-2 \text { from } 5 x+6
$$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 3, Problem 34

Instant Answer

Solved by Expert Jennifer Stoner

03/09/2023

Step 1

Step 1: First, we write down the given polynomials in the vertical format: \[ \begin{array}{c} 5x + 6 \\ -(-6x - 2) \end{array} \] Show more…

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Subtract the polynomials using the vertical format. $$ -6 x-2 \text { from } 5 x+6 $$

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Key Concepts

Polynomial Subtraction

This concept involves subtracting one polynomial from another by changing the signs of the terms in the polynomial to be subtracted and then combining like terms. It requires a clear understanding of how to distribute the subtraction across each term, effectively turning the operation into an addition of the additive inverse.

Vertical Format for Polynomials

The vertical format is a method of writing polynomials one above the other with like terms aligned in columns. This arrangement facilitates the process of combining like terms, similar to standard columnar addition and subtraction methods used with numbers.

Combining Like Terms

This concept is essential in simplifying polynomial expressions. It involves adding or subtracting coefficients of terms that have the same variables raised to the same powers. Proper alignment of like terms is crucial for ensuring the correctness of the operations performed in polynomial subtraction.

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