Question

Subtract the polynomials using the horizontal format. $$ 6 x^{3}+x^{2}+4 \text { from } 9 x^{3}-x-2 $$

Name: Problem 30, Chapter 3: Intermediate Algebra
Uploaded: 2023-03-09T08:41:46-08:00
Duration: 1 min 6 s
Channel: Jennifer Stoner
Description: Subtract the polynomials using the horizontal format. 6 x^3+x^2+4 from 9 x^3-x-2

   Subtract the polynomials using the horizontal format.
$$
6 x^{3}+x^{2}+4 \text { from } 9 x^{3}-x-2
$$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 3, Problem 30

Instant Answer

Solved by Expert Jennifer Stoner

03/09/2023

Step 1

Step 1: First, write down the given polynomials: $$ 9 x^{3}-x-2 \quad \text { and } \quad 6 x^{3}+x^{2}+4 $$ Show more…

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Subtract the polynomials using the horizontal format. $$ 6 x^{3}+x^{2}+4 \text { from } 9 x^{3}-x-2 $$

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Key Concepts

Polynomial Subtraction

Polynomial subtraction involves subtracting one polynomial from another by changing the sign of the polynomial being subtracted and then combining like terms. It is a fundamental operation in algebra that requires careful distribution of the subtraction across each term and subsequent simplification.

Combining Like Terms

Combining like terms is the process of identifying and then consolidating terms within an expression that share the same variable raised to the same power. This simplification step is essential in operations such as polynomial subtraction, as it allows for a more concise and simplified final expression.

Horizontal Format

The horizontal format is a method of writing polynomials next to each other in a single line, which promotes clarity and organization when performing operations like subtraction. This format helps in aligning similar terms, making it easier to subtract corresponding terms and combine like terms effectively.

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