16. Show that (x+ 4) is a factor of f(x) = 3x - 16x² - then factor completely. 103x +36 %3D |

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcription of the given mathematical problem:

---

**16. Show that \((x + 4)\) is a factor of**

\[ 
f(x) = 3x^3 - 16x^2 - 103x + 36 
\]

**then factor completely.**

---

Instructions:
- Verify that \((x + 4)\) is a factor of the polynomial \(f(x)\) using methods like polynomial division or the Remainder Theorem.
- Once confirmed, proceed to factor the polynomial completely.
Transcribed Image Text:Transcription of the given mathematical problem: --- **16. Show that \((x + 4)\) is a factor of** \[ f(x) = 3x^3 - 16x^2 - 103x + 36 \] **then factor completely.** --- Instructions: - Verify that \((x + 4)\) is a factor of the polynomial \(f(x)\) using methods like polynomial division or the Remainder Theorem. - Once confirmed, proceed to factor the polynomial completely.
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