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2\left(2x^{4}-11x^{2}+9x\right)
Tauwehea te 2.
x\left(2x^{3}-11x+9\right)
Whakaarohia te 2x^{4}-11x^{2}+9x. Tauwehea te x.
\left(x-1\right)\left(2x^{2}+2x-9\right)
Whakaarohia te 2x^{3}-11x+9. 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 9, 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.
2x\left(x-1\right)\left(2x^{2}+2x-9\right)
Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau 2x^{2}+2x-9 i whakatauwehea i te mea kāhore ōna pūtake whakahau.