Use synthetic division to find the quotient and remainder when -2x 12x + x + 6 is divided by x+6. Specifically, complete the synthetic division table Remainder below, and write your answer in the following form: Quotient+ x+6 -6 ) -2 -12 1 6 O O O O –2x° - 12x +x + 6 x + 6 x + 6
Use synthetic division to find the quotient and remainder when -2x 12x + x + 6 is divided by x+6. Specifically, complete the synthetic division table Remainder below, and write your answer in the following form: Quotient+ x+6 -6 ) -2 -12 1 6 O O O O –2x° - 12x +x + 6 x + 6 x + 6
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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![**Synthetic Division Example:**
Use synthetic division to find the quotient and remainder when \(-2x^3 - 12x^2 + x + 6\) is divided by \(x + 6\). Specifically, complete the synthetic division table below, and write your answer in the following form: Quotient + \(\frac{\text{Remainder}}{x + 6}\).
**Synthetic Division Setup:**
- The divisor is \(x + 6\), so use \(-6\) for the synthetic division.
- The coefficients from the polynomial \(-2x^3 - 12x^2 + x + 6\) are \(-2, -12, 1, 6\).
**Synthetic Division Table:**
\[
\begin{array}{c|cccc}
-6 & & -2 & -12 & 1 & 6 \\
& \\
\hline
& \\
\end{array}
\]
**Solution Format:**
\[
-2x^3 - 12x^2 + x + 6 = \text{Quotient} + \frac{\text{Remainder}}{x + 6}
\]
Complete the synthetic division process to find the quotient and remainder.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F592c3157-16ae-4adf-9e37-2db2ec2ebc8f%2F3feab7de-11c7-4693-9509-00b31b009098%2F0tizqy_processed.png&w=3840&q=75)
Transcribed Image Text:**Synthetic Division Example:**
Use synthetic division to find the quotient and remainder when \(-2x^3 - 12x^2 + x + 6\) is divided by \(x + 6\). Specifically, complete the synthetic division table below, and write your answer in the following form: Quotient + \(\frac{\text{Remainder}}{x + 6}\).
**Synthetic Division Setup:**
- The divisor is \(x + 6\), so use \(-6\) for the synthetic division.
- The coefficients from the polynomial \(-2x^3 - 12x^2 + x + 6\) are \(-2, -12, 1, 6\).
**Synthetic Division Table:**
\[
\begin{array}{c|cccc}
-6 & & -2 & -12 & 1 & 6 \\
& \\
\hline
& \\
\end{array}
\]
**Solution Format:**
\[
-2x^3 - 12x^2 + x + 6 = \text{Quotient} + \frac{\text{Remainder}}{x + 6}
\]
Complete the synthetic division process to find the quotient and remainder.
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