65)=x3メ+-12x+8

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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Find all of the zeros in the function
The image shows a handwritten polynomial function. The function is labeled as problem 8 and is defined as:

\[ f(x) = x^4 - 3x^3 + 6x^2 - 12x + 8 \]

This function is a quartic polynomial, which means it is of degree 4. The polynomial consists of five terms, each with decreasing powers of \( x \). The coefficients of the terms are as follows:

- The coefficient of \( x^4 \) is 1.
- The coefficient of \( x^3 \) is -3.
- The coefficient of \( x^2 \) is 6.
- The coefficient of \( x \) is -12.
- The constant term is 8.

There are no graphs or diagrams included with this text.
Transcribed Image Text:The image shows a handwritten polynomial function. The function is labeled as problem 8 and is defined as: \[ f(x) = x^4 - 3x^3 + 6x^2 - 12x + 8 \] This function is a quartic polynomial, which means it is of degree 4. The polynomial consists of five terms, each with decreasing powers of \( x \). The coefficients of the terms are as follows: - The coefficient of \( x^4 \) is 1. - The coefficient of \( x^3 \) is -3. - The coefficient of \( x^2 \) is 6. - The coefficient of \( x \) is -12. - The constant term is 8. There are no graphs or diagrams included with this text.
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