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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\left(2x-5\right)\left(x^{3}+4x^{2}-11x+6\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 -30, ā, ka wehea e q te whakarea arahanga 2. Ko tetahi pūtake pērā ko \frac{5}{2}. Tauwehea te pūrau mā te whakawehe mā te 2x-5.
\left(x+6\right)\left(x^{2}-2x+1\right)
Whakaarohia te x^{3}+4x^{2}-11x+6. 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 6, ā, ka wehea e q te whakarea arahanga 1. Ko tetahi pūtake pērā ko -6. Tauwehea te pūrau mā te whakawehe mā te x+6.
\left(x-1\right)^{2}
Whakaarohia te x^{2}-2x+1. Whakamahia te tikanga tātai pūrua pā, a^{2}-2ab+b^{2}=\left(a-b\right)^{2}, ina a=x, ina b=1.
\left(2x-5\right)\left(x+6\right)\left(x-1\right)^{2}
Me tuhi anō te kīanga whakatauwehe katoa.