When Is X^n + 1 Divisible By X + 1? | Polynomials & Rational Functions

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Review question When is $x^n + 1$ divisible by $x + 1$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource Ref: R7108 Printable/supporting materials Printable version Fullscreen mode Teacher notes
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Question

Show that \(x^n + 1\) is divisible by \(x + 1\) when, and only when, \(n\) is an odd integer.

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UCLES O level Additional Mathematics 2, QP 471/2, 1968, Q5(iii)

Question reproduced by kind permission of Cambridge Assessment Group Archives. The question remains Copyright University of Cambridge Local Examinations Syndicate (“UCLES”), All rights reserved.

Last updated 22-Aug-16

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