Tauwehe
x\left(1-x\right)\left(4x+1\right)
Aromātai
x\left(1-x\right)\left(4x+1\right)
Graph
Tohaina
Kua tāruatia ki te papatopenga
x\left(3x+1-4x^{2}\right)
Tauwehea te x.
-4x^{2}+3x+1
Whakaarohia te 3x+1-4x^{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=3 ab=-4=-4
Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei -4x^{2}+ax+bx+1. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
-1,4 -2,2
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. Whakarārangitia ngā tau tōpū takirua pērā katoa ka hoatu i te hua -4.
-1+4=3 -2+2=0
Tātaihia te tapeke mō ia takirua.
a=4 b=-1
Ko te otinga te takirua ka hoatu i te tapeke 3.
\left(-4x^{2}+4x\right)+\left(-x+1\right)
Tuhia anō te -4x^{2}+3x+1 hei \left(-4x^{2}+4x\right)+\left(-x+1\right).
4x\left(-x+1\right)-x+1
Whakatauwehea atu 4x i te -4x^{2}+4x.
\left(-x+1\right)\left(4x+1\right)
Whakatauwehea atu te kīanga pātahi -x+1 mā te whakamahi i te āhuatanga tātai tohatoha.
x\left(-x+1\right)\left(4x+1\right)
Me tuhi anō te kīanga whakatauwehe katoa.
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