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Tohaina

x\left(3x^{2}-2x-1\right)
Tauwehea te x.
a+b=-2 ab=3\left(-1\right)=-3
Whakaarohia te 3x^{2}-2x-1. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei 3x^{2}+ax+bx-1. 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 tōraro te a+b, he nui ake te uara pū o te tau tōraro i tō te tōrunga. Ko te takirua anake pērā ko te otinga pūnaha.
\left(3x^{2}-3x\right)+\left(x-1\right)
Tuhia anō te 3x^{2}-2x-1 hei \left(3x^{2}-3x\right)+\left(x-1\right).
3x\left(x-1\right)+x-1
Whakatauwehea atu 3x i te 3x^{2}-3x.
\left(x-1\right)\left(3x+1\right)
Whakatauwehea atu te kīanga pātahi x-1 mā te whakamahi i te āhuatanga tātai tohatoha.
x\left(x-1\right)\left(3x+1\right)
Me tuhi anō te kīanga whakatauwehe katoa.