Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Polynomial Division Problems
#### Problem 1:
**Task:** Use long division to divide. (Simplify your answer completely.)
\[
\frac{5x^3 - 16 - 20x + x^4}{x^2 - x - 3}
\]
- **Solution:**
- \[
\boxed{\phantom{answer}}
\]
- \[
x \ne \frac{1 - \sqrt{13}}{2}, \quad x \ne \frac{1 + \sqrt{13}}{2}
\]
**Need Help?**
- Read It
- Watch It
#### Problem 2:
**Task:** Use synthetic division to divide. (Simplify your answer completely.)
\[
\frac{7x^3 + 40x^2 + 18x - 35}{x + 5}
\]
- **Solution:**
- \[
\boxed{\phantom{answer}}
\]
- \[
x \ne -5
\]
**Need Help?**
- Read It
- Watch It
#### Problem 3:
**Task:** Use synthetic division to divide. (Simplify your answer completely.)
\[
\frac{x^5 - 13x^4 - 120x + 81}{x + 3}
\]
- **Solution:**
- \[
\boxed{\phantom{answer}}
\]
- \[
x \ne -3
\]
**Need Help?**
- Read It
- Watch It](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2367e66-1ae4-4371-aa7b-db391deab840%2F5f4e0257-61f5-4ec4-8ceb-5a8e4ccd85ec%2Favrchg_processed.png&w=3840&q=75)
Transcribed Image Text:### Polynomial Division Problems
#### Problem 1:
**Task:** Use long division to divide. (Simplify your answer completely.)
\[
\frac{5x^3 - 16 - 20x + x^4}{x^2 - x - 3}
\]
- **Solution:**
- \[
\boxed{\phantom{answer}}
\]
- \[
x \ne \frac{1 - \sqrt{13}}{2}, \quad x \ne \frac{1 + \sqrt{13}}{2}
\]
**Need Help?**
- Read It
- Watch It
#### Problem 2:
**Task:** Use synthetic division to divide. (Simplify your answer completely.)
\[
\frac{7x^3 + 40x^2 + 18x - 35}{x + 5}
\]
- **Solution:**
- \[
\boxed{\phantom{answer}}
\]
- \[
x \ne -5
\]
**Need Help?**
- Read It
- Watch It
#### Problem 3:
**Task:** Use synthetic division to divide. (Simplify your answer completely.)
\[
\frac{x^5 - 13x^4 - 120x + 81}{x + 3}
\]
- **Solution:**
- \[
\boxed{\phantom{answer}}
\]
- \[
x \ne -3
\]
**Need Help?**
- Read It
- Watch It
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