Answer
$8$
Work Step by Step
The Remainder Theorem says that if we divide $P(x)$ by $D(x)=x-c$, then the remainder is the constant $P(c)$.
Hence, here the remainder is
$P(1)=1^{500}+6(1)^{101}-1^2-2(1)+4=8$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 3, Polynomial and Rational Functions - Chapter 3 Review - Exercises - Page 357: 37
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