Determine whether the statement makes sense or does not make sense, and explain yourreasoning: "When performing the division (x5 + 1) ÷ (x + 1), there’s no need for me to follow all the steps involved in polynomial long division because I can work the problem in my head and see that the quotient must be x4 + 1."

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T: (a) Use synthetic division to find the quotient and remainder when x44x2+2x+5 divided by x — 2. (b)...
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Determine whether the statement makes sense or does not make sense, and explain your
reasoning: "When performing the division (x5 + 1) ÷ (x + 1), there’s no need for me to follow all the steps involved in polynomial long division because I can work the problem in my head and see that the quotient must be x4 + 1."

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