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8\left(x^{3}+3x^{2}+4x+2\right)
Tauwehea te 8.
\left(x+1\right)\left(x^{2}+2x+2\right)
Whakaarohia te x^{3}+3x^{2}+4x+2. 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 2, ā, ka wehea e q te whakarea arahanga 1. Ko tetahi pūtake pērā ko -1. Tauwehea te pūrau mā te whakawehe mā te x+1.
8\left(x+1\right)\left(x^{2}+2x+2\right)
Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau x^{2}+2x+2 i whakatauwehea i te mea kāhore ōna pūtake whakahau.