4. You are working with a friend doing math homework. For one of the questions, you are to find the quotient and remainder after long division of two polynomials. You see their answer is Q=2x^2 - 4x + 5, and R = - 19x+4. But you are unable to make out the question (you cannot read what the two polynomials are). Make up your own question that has the above answer (this means you find two polynomials p, and q such that when you divide you get the above quotient Р 음 and remainder). Explain how you picked your p and q. Then divide p by q to verify your question has the right answer. Be sure to show your work (like you did in question 3). Hint: There are an infinite number of questions that have the above answer. You only need to find one. Create one of the polynomials (either p or q) however you want, then determine the other one.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 10DE
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4. You are working with a friend doing math homework. For one of the
questions, you are to find the quotient and remainder after long division of two
polynomials. You see their answer is Q=2x^2 - 4x + 5, and R = - 19x+4.
But you are unable to make out the question (you cannot read what the two
polynomials are).
Make up your own question that has the above answer (this means you find two
polynomials p, and q such that when you divide
Р
you get the above quotient
and remainder). Explain how you picked your p and q. Then divide p by q to
verify your question has the right answer. Be sure to show your work (like you
did in question 3).
Hint: There are an infinite number of questions that have the above answer. You
only need to find one. Create one of the polynomials (either p or q) however
you want, then determine the other one.
No new data to save. Last checked at 6:02pm
Oct 17
6:03
Submit Quiz
Transcribed Image Text:4. You are working with a friend doing math homework. For one of the questions, you are to find the quotient and remainder after long division of two polynomials. You see their answer is Q=2x^2 - 4x + 5, and R = - 19x+4. But you are unable to make out the question (you cannot read what the two polynomials are). Make up your own question that has the above answer (this means you find two polynomials p, and q such that when you divide Р you get the above quotient and remainder). Explain how you picked your p and q. Then divide p by q to verify your question has the right answer. Be sure to show your work (like you did in question 3). Hint: There are an infinite number of questions that have the above answer. You only need to find one. Create one of the polynomials (either p or q) however you want, then determine the other one. No new data to save. Last checked at 6:02pm Oct 17 6:03 Submit Quiz
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