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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\left(2x-7\right)\left(x^{3}+x^{2}-5x+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 -21, ā, ka wehea e q te whakarea arahanga 2. Ko tetahi pūtake pērā ko \frac{7}{2}. Tauwehea te pūrau mā te whakawehe mā te 2x-7.
\left(x+3\right)\left(x^{2}-2x+1\right)
Whakaarohia te x^{3}+x^{2}-5x+3. 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 -3. Tauwehea te pūrau mā te whakawehe mā te x+3.
\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-7\right)\left(x+3\right)\left(x-1\right)^{2}
Me tuhi anō te kīanga whakatauwehe katoa.