Tauwehe
-2x\left(x-3\right)\left(x+2\right)
Aromātai
-2x\left(x-3\right)\left(x+2\right)
Graph
Tohaina
Kua tāruatia ki te papatopenga
2\left(-x^{3}+x^{2}+6x\right)
Tauwehea te 2.
x\left(-x^{2}+x+6\right)
Whakaarohia te -x^{3}+x^{2}+6x. Tauwehea te x.
a+b=1 ab=-6=-6
Whakaarohia te -x^{2}+x+6. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei -x^{2}+ax+bx+6. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
-1,6 -2,3
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 -6.
-1+6=5 -2+3=1
Tātaihia te tapeke mō ia takirua.
a=3 b=-2
Ko te otinga te takirua ka hoatu i te tapeke 1.
\left(-x^{2}+3x\right)+\left(-2x+6\right)
Tuhia anō te -x^{2}+x+6 hei \left(-x^{2}+3x\right)+\left(-2x+6\right).
-x\left(x-3\right)-2\left(x-3\right)
Tauwehea te -x i te tuatahi me te -2 i te rōpū tuarua.
\left(x-3\right)\left(-x-2\right)
Whakatauwehea atu te kīanga pātahi x-3 mā te whakamahi i te āhuatanga tātai tohatoha.
2x\left(x-3\right)\left(-x-2\right)
Me tuhi anō te kīanga whakatauwehe katoa.
Ngā Tauira
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