Tauwehe
\left(5-x\right)^{3}
Aromātai
\left(5-x\right)^{3}
Graph
Tohaina
Kua tāruatia ki te papatopenga
\left(x-5\right)\left(-x^{2}+10x-25\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 125, ā, ka wehea e q te whakarea arahanga -1. Ko tetahi pūtake pērā ko 5. Tauwehea te pūrau mā te whakawehe mā te x-5.
a+b=10 ab=-\left(-25\right)=25
Whakaarohia te -x^{2}+10x-25. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei -x^{2}+ax+bx-25. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
1,25 5,5
I te mea kua tōrunga te ab, he ōrite te tohu o a me b. I te mea kua tōrunga te a+b, he tōrunga hoki a a me b. Whakarārangitia ngā tau tōpū takirua pērā katoa ka hoatu i te hua 25.
1+25=26 5+5=10
Tātaihia te tapeke mō ia takirua.
a=5 b=5
Ko te otinga te takirua ka hoatu i te tapeke 10.
\left(-x^{2}+5x\right)+\left(5x-25\right)
Tuhia anō te -x^{2}+10x-25 hei \left(-x^{2}+5x\right)+\left(5x-25\right).
-x\left(x-5\right)+5\left(x-5\right)
Tauwehea te -x i te tuatahi me te 5 i te rōpū tuarua.
\left(x-5\right)\left(-x+5\right)
Whakatauwehea atu te kīanga pātahi x-5 mā te whakamahi i te āhuatanga tātai tohatoha.
\left(-x+5\right)\left(x-5\right)^{2}
Me tuhi anō te kīanga whakatauwehe katoa.
Ngā Tauira
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Ngā Tepe
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