Tauwehe
-x\left(x-3\right)\left(x+1\right)
Aromātai
-x\left(x-3\right)\left(x+1\right)
Graph
Tohaina
Kua tāruatia ki te papatopenga
x\left(3+2x-x^{2}\right)
Tauwehea te x.
-x^{2}+2x+3
Whakaarohia te 3+2x-x^{2}. Hurinahatia te pūrau ki te āhua tānga ngahuru. Whakaraupapahia ngā kīanga tau mai i te pū teitei rawa ki te mea iti rawa.
a+b=2 ab=-3=-3
Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei -x^{2}+ax+bx+3. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
a=3 b=-1
I te mea kua tōraro te ab, he tauaro ngā tohu o a me b. I te mea kua tōrunga te a+b, he nui ake te uara pū o te tau tōrunga i tō te tōraro. Ko te takirua anake pērā ko te otinga pūnaha.
\left(-x^{2}+3x\right)+\left(-x+3\right)
Tuhia anō te -x^{2}+2x+3 hei \left(-x^{2}+3x\right)+\left(-x+3\right).
-x\left(x-3\right)-\left(x-3\right)
Tauwehea te -x i te tuatahi me te -1 i te rōpū tuarua.
\left(x-3\right)\left(-x-1\right)
Whakatauwehea atu te kīanga pātahi x-3 mā te whakamahi i te āhuatanga tātai tohatoha.
x\left(x-3\right)\left(-x-1\right)
Me tuhi anō te kīanga whakatauwehe katoa.
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