Answer
Ans. Yes$ (x+3)$ is a factor of $ x^7+2187$
Work Step by Step
Given:-$ p(x)=x^7+2187$
If p(x)=0 at x=-3 then (x+3) will be the factor of P(x)
$p(-3)=(-3)^7+2187$
=-2187+2187
=0
Therefore, $ (x+3)$ is a factor of $ x^7+2187$
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Appendix C - Solving Polynomial Equations - Exercise Set C - Page A33: 24
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