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\frac{6x^{4}+20x^{3}+9x^{2}-5x}{6}
Tauwehea te \frac{1}{6}.
x\left(6x^{3}+20x^{2}+9x-5\right)
Whakaarohia te 6x^{4}+20x^{3}+9x^{2}-5x. Tauwehea te x.
\left(x+1\right)\left(6x^{2}+14x-5\right)
Whakaarohia te 6x^{3}+20x^{2}+9x-5. 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 6. Ko tetahi pūtake pērā ko -1. Tauwehea te pūrau mā te whakawehe mā te x+1.
\frac{x\left(x+1\right)\left(6x^{2}+14x-5\right)}{6}
Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau 6x^{2}+14x-5 i whakatauwehea i te mea kāhore ōna pūtake whakahau.