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Question
Prove that ( p-q) is a factor of (q - r)3 + (r - p) 3
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Solution
If p - q is assumed to be factor, then p = q. Substituting this in problem polynomial, we get:
f(p = q) = (p - r)3 + (r - p )3
= (p-r)3+ (- (p - r))3
= (p - r)3 - (p - r)3
= 0
Hence, (p - q) is a factor.
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