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x\left(x^{3}-75x+250\right)
Tauwehea te x.
\left(x+10\right)\left(x^{2}-10x+25\right)
Whakaarohia te x^{3}-75x+250. 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 250, ā, ka wehea e q te whakarea arahanga 1. Ko tetahi pūtake pērā ko -10. Tauwehea te pūrau mā te whakawehe mā te x+10.
\left(x-5\right)^{2}
Whakaarohia te x^{2}-10x+25. Whakamahia te tikanga tātai pūrua pā, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, ina a=x, ina b=5.
x\left(x+10\right)\left(x-5\right)^{2}
Me tuhi anō te kīanga whakatauwehe katoa.