Perform the following addition. See Example 1. 14x2 + 17x2

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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## Polynomial Addition Example

Perform the following addition. See Example 1.

\[ 14x^2 + 17x^2 \]

**Solution Explanation:** 
To add polynomials, you combine like terms. In this case, both terms are like terms because they both have the variable \( x \) raised to the power of 2.

So,

\[ 14x^2 + 17x^2 = (14 + 17)x^2 = 31x^2 \]

Enclose the calculated result in the box provided.

**Final solution:**

\[ 31x^2 \]

This basic polynomial addition helps to solidify understanding of combining like terms in algebraic expressions.
Transcribed Image Text:## Polynomial Addition Example Perform the following addition. See Example 1. \[ 14x^2 + 17x^2 \] **Solution Explanation:** To add polynomials, you combine like terms. In this case, both terms are like terms because they both have the variable \( x \) raised to the power of 2. So, \[ 14x^2 + 17x^2 = (14 + 17)x^2 = 31x^2 \] Enclose the calculated result in the box provided. **Final solution:** \[ 31x^2 \] This basic polynomial addition helps to solidify understanding of combining like terms in algebraic expressions.
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