4. Solve the equation: 2x³ 3x2 - 11x+6=0 3x² - 11x +6 given that -2 is a zero of f(x) = 2x³ - 3x²
4. Solve the equation: 2x³ 3x2 - 11x+6=0 3x² - 11x +6 given that -2 is a zero of f(x) = 2x³ - 3x²
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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Question
![**Problem 4: Solving the Polynomial Equation**
Solve the equation:
\[ 2x^3 - 3x^2 - 11x + 6 = 0 \]
**Given:**
-2 is a zero of
\[ f(x) = 2x^3 - 3x^2 - 11x + 6 \]
**Explanation:**
This problem involves finding the roots of a cubic polynomial equation. The information that -2 is a zero means that \( x = -2 \) is one of the roots of the polynomial. The task is to use this information to solve the equation by finding all roots.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F470394cf-97a2-4b61-9505-1db63f7a9e6d%2F5f2dffba-9fdd-411d-8369-abd6a1a1dd43%2Ffcyappa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 4: Solving the Polynomial Equation**
Solve the equation:
\[ 2x^3 - 3x^2 - 11x + 6 = 0 \]
**Given:**
-2 is a zero of
\[ f(x) = 2x^3 - 3x^2 - 11x + 6 \]
**Explanation:**
This problem involves finding the roots of a cubic polynomial equation. The information that -2 is a zero means that \( x = -2 \) is one of the roots of the polynomial. The task is to use this information to solve the equation by finding all roots.
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