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\left(2x-3\right)\left(64x^{6}+96x^{5}+144x^{4}+216x^{3}+324x^{2}+486x+729\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 -2187, ā, ka wehea e q te whakarea arahanga 128. Ko tetahi pūtake pērā ko \frac{3}{2}. Tauwehea te pūrau mā te whakawehe mā te 2x-3. Kāore te pūrau 64x^{6}+96x^{5}+144x^{4}+216x^{3}+324x^{2}+486x+729 i whakatauwehea i te mea kāhore ōna pūtake whakahau.