Question

Add the polynomials. $$(5 x+6)+(-2 x+6)$$

   Add the polynomials.
$$(5 x+6)+(-2 x+6)$$

College Algebra with Modeling and Visualization

College Algebra with Modeling and Visualization

Gary K. Rockswold 4th Edition

Chapter 0, Problem 19

Instant Answer

Solved by Expert Julie Silva

04/13/2021

Step 1

Since there is no coefficient in front of the parentheses, the polynomials remain the same. So, we have: \[5x + 6 - 2x + 6\] Show more…

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Add the polynomials. $$(5 x+6)+(-2 x+6)$$

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Key Concepts

Polynomial Addition

Polynomial addition is the process of adding two or more polynomials by adding the coefficients of like terms, where like terms are terms that have the same variable raised to the same exponent. This operation is performed by aligning terms of the same degree and consolidating them into a simpler expression.

Combining Like Terms

Combining like terms involves identifying terms within an expression that have identical variable parts and adding or subtracting their coefficients accordingly. This step is crucial in simplifying polynomial expressions, resulting in a more compact and manageable form.

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