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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

x^{3}-7x+\frac{18}{2}x-3
Pahekotia te -4x me -3x, ka -7x.
x^{3}-7x+9x-3
Whakawehea te 18 ki te 2, kia riro ko 9.
x^{3}+2x-3
Pahekotia te -7x me 9x, ka 2x.
x^{3}+2x-3
Whakarea ka paheko i ngā kīanga tau ōrite.
\left(x-1\right)\left(x^{2}+x+3\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 -3, 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. Kāore te pūrau x^{2}+x+3 i whakatauwehea i te mea kāhore ōna pūtake whakahau.