Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![The image contains a mathematical problem statement for polynomial long division.
---
Use long division to divide:
\[
\frac{6x^4 + 3x^3 - 7x^2 + 6x - 5}{-3 + x + 2x^2}
\]
---
Educational Note:
To solve this problem, use polynomial long division. Start by comparing the leading terms of the numerator and the divisor, finding what you need to multiply the divisor's leading term by to match the numerator's leading term, and proceed with division.
1. Divide the leading term of the numerator by the leading term of the divisor.
2. Multiply the entire divisor by the result and subtract from the current dividend.
3. Repeat with the new polynomial until the degree of the remainder is less than the degree of the divisor.
This exercise provides practice with polynomial manipulation and reinforces the concept of dividing higher-degree polynomials.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93b779eb-3fb4-4e8e-a3e5-cbc97ed5211a%2F73c273c7-2d0b-4db6-ab17-530a130157d9%2Fhxd2co_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a mathematical problem statement for polynomial long division.
---
Use long division to divide:
\[
\frac{6x^4 + 3x^3 - 7x^2 + 6x - 5}{-3 + x + 2x^2}
\]
---
Educational Note:
To solve this problem, use polynomial long division. Start by comparing the leading terms of the numerator and the divisor, finding what you need to multiply the divisor's leading term by to match the numerator's leading term, and proceed with division.
1. Divide the leading term of the numerator by the leading term of the divisor.
2. Multiply the entire divisor by the result and subtract from the current dividend.
3. Repeat with the new polynomial until the degree of the remainder is less than the degree of the divisor.
This exercise provides practice with polynomial manipulation and reinforces the concept of dividing higher-degree polynomials.
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