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3. Find ()(m) if f(m) = 8m³ +5m² - 32m - 20 and g(m) = 8m +5. ()(m) = m² +4 (f)(m)=m²-4 O()(m) = m +4 O()(m)=m-4

3. Find ()(m) if f(m) = 8m³ +5m² - 32m - 20 and g(m) = 8m +5. ()(m) = m² +4 (f)(m)=m²-4 O()(m) = m +4 O()(m)=m-4

Algebra and Trigonometry (6th Edition)
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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### Evaluating the Function Quotient **Problem:** Find \( \left( \frac{f}{g} \right)(m) \) if \( f(m) = 8m^3 + 5m^2 - 32m - 20 \) and \( g(m) = 8m + 5 \). **Options:** - \( \left( \frac{f}{g} \right)(m) = m^2 + 4 \) - \( \left( \frac{f}{g} \right)(m) = m^2 - 4 \) - \( \left( \frac{f}{g} \right)(m) = m + 4 \) - \( \left( \frac{f}{g} \right)(m) = m - 4 \) **Explanation:** To find \( \left( \frac{f}{g} \right)(m) \), you need to perform polynomial long division on \( \frac{f(m)}{g(m)} \), where: - \( f(m) = 8m^3 + 5m^2 - 32m - 20 \) - \( g(m) = 8m + 5 \) By dividing the polynomial \( f(m) \) by \( g(m) \), you can determine which option correctly represents the equation.
Transcribed Image Text:### Evaluating the Function Quotient **Problem:** Find \( \left( \frac{f}{g} \right)(m) \) if \( f(m) = 8m^3 + 5m^2 - 32m - 20 \) and \( g(m) = 8m + 5 \). **Options:** - \( \left( \frac{f}{g} \right)(m) = m^2 + 4 \) - \( \left( \frac{f}{g} \right)(m) = m^2 - 4 \) - \( \left( \frac{f}{g} \right)(m) = m + 4 \) - \( \left( \frac{f}{g} \right)(m) = m - 4 \) **Explanation:** To find \( \left( \frac{f}{g} \right)(m) \), you need to perform polynomial long division on \( \frac{f(m)}{g(m)} \), where: - \( f(m) = 8m^3 + 5m^2 - 32m - 20 \) - \( g(m) = 8m + 5 \) By dividing the polynomial \( f(m) \) by \( g(m) \), you can determine which option correctly represents the equation.
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