What is the least possible degree of the polynomial graphed above? Question Help: D Video Message instructor D Post to forum Submit Question
What is the least possible degree of the polynomial graphed above? Question Help: D Video Message instructor D Post to forum Submit Question
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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what is the least possible degree of the polynomial graphed above ?
![Transcription for Educational Website:
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**Question:**
What is the least possible degree of the polynomial graphed above?
**Graph Description:**
The graph shown is a smooth, continuous curve that crosses the x-axis three times, suggesting it has three real roots. It also has two turning points, which indicates at least two changes in direction. The polynomial's degree is possibly one higher than the number of turning points.
**Answer Input:**
[Text box for answer input]
**Question Help:**
- [Video]
- [Message Instructor]
- [Post to Forum]
[Submit Question Button]
---
**Graph Analysis:**
The graph depicts a typical cubic polynomial (third-degree polynomial) behavior with its three x-intercepts and two turning points, suggesting the least possible degree of the polynomial is 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00bb6d06-9e58-449e-9be8-ed6cf16cbef6%2F89ebf4e9-a8fc-4670-995a-5f6caff96b8b%2Fsr546xo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Transcription for Educational Website:
---
**Question:**
What is the least possible degree of the polynomial graphed above?
**Graph Description:**
The graph shown is a smooth, continuous curve that crosses the x-axis three times, suggesting it has three real roots. It also has two turning points, which indicates at least two changes in direction. The polynomial's degree is possibly one higher than the number of turning points.
**Answer Input:**
[Text box for answer input]
**Question Help:**
- [Video]
- [Message Instructor]
- [Post to Forum]
[Submit Question Button]
---
**Graph Analysis:**
The graph depicts a typical cubic polynomial (third-degree polynomial) behavior with its three x-intercepts and two turning points, suggesting the least possible degree of the polynomial is 3.
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