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