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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\left(x-5\right)\left(3x^{3}+x^{2}-x+1\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 -5, ā, ka wehea e q te whakarea arahanga 3. Ko tetahi pūtake pērā ko 5. Tauwehea te pūrau mā te whakawehe mā te x-5.
\left(x+1\right)\left(3x^{2}-2x+1\right)
Whakaarohia te 3x^{3}+x^{2}-x+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 3. Ko tetahi pūtake pērā ko -1. Tauwehea te pūrau mā te whakawehe mā te x+1.
\left(x-5\right)\left(3x^{2}-2x+1\right)\left(x+1\right)
Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau 3x^{2}-2x+1 i whakatauwehea i te mea kāhore ōna pūtake whakahau.