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\left(x-1\right)\left(3x^{2}+5x+5\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 -5, ā, ka wehea e q te whakarea arahanga 3. Ko tetahi pūtake pērā ko 1. Tauwehea te pūrau mā te whakawehe mā te x-1. Kāore te pūrau 3x^{2}+5x+5 i whakatauwehea i te mea kāhore ōna pūtake whakahau.