Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
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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Question
![### Adding Polynomials
In this example, we are asked to add the polynomials \((-3x + 4)\) and \((8x - 5\)) together.
To add the polynomials, we combine like terms:
1. Combine the \(x\)-terms:
\[
-3x + 8x = 5x
\]
2. Combine the constant terms:
\[
4 - 5 = -1
\]
The resulting polynomial after combining like terms is:
\[
5x - 1
\]
---
### Multiple-Choice Options
The problem provides several multiple-choice options for the resulting polynomial. These options are displayed as colored blocks, each containing a different polynomial expression:
1. **5x - 9** (Blue)
2. **11x - 1** (Cyan)
3. **11x - 9** (Yellow)
4. **5x - 1** (Pink)
5. **None of these** (Purple)
Based on our calculation, the correct answer is represented by the pink block: `5x - 1`.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b5982c4-3c04-41b8-925e-8e6efd8d0865%2Fb824ba36-4308-42e3-8d9d-96a6ef25a60f%2Fc3ffhud_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Adding Polynomials
In this example, we are asked to add the polynomials \((-3x + 4)\) and \((8x - 5\)) together.
To add the polynomials, we combine like terms:
1. Combine the \(x\)-terms:
\[
-3x + 8x = 5x
\]
2. Combine the constant terms:
\[
4 - 5 = -1
\]
The resulting polynomial after combining like terms is:
\[
5x - 1
\]
---
### Multiple-Choice Options
The problem provides several multiple-choice options for the resulting polynomial. These options are displayed as colored blocks, each containing a different polynomial expression:
1. **5x - 9** (Blue)
2. **11x - 1** (Cyan)
3. **11x - 9** (Yellow)
4. **5x - 1** (Pink)
5. **None of these** (Purple)
Based on our calculation, the correct answer is represented by the pink block: `5x - 1`.
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