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a^{5}-32
Ka whakawehea he tau ki te tahi, hua ai ko ia anō.
\left(a-2\right)\left(a^{4}+2a^{3}+4a^{2}+8a+16\right)
Tā te Rational Root Theorem, ko ngā pūtake whakahau katoa o tētahi pūrau kei te āhua o \frac{p}{q}, ina wehea e p te kīanga pūmau -32, ā, ka wehea e q te whakarea arahanga 1. Ko tetahi pūtake pērā ko 2. Tauwehea te pūrau mā te whakawehe mā te a-2. Kāore te pūrau a^{4}+2a^{3}+4a^{2}+8a+16 i whakatauwehea i te mea kāhore ōna pūtake whakahau.