Use long division to divide. (Simplify your answer completely.) (5x³-16 - 20x + x4) = (x²-x-3) 1-√13 1+√13 X # 2 2 Need Help? Read It Watch It

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
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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