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Tohaina

x\left(x^{2}-8x+7\right)
Tauwehea te x.
a+b=-8 ab=1\times 7=7
Whakaarohia te x^{2}-8x+7. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei x^{2}+ax+bx+7. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
a=-7 b=-1
I te mea kua tōrunga te ab, he ōrite te tohu o a me b. I te mea kua tōraro te a+b, he tōraro hoki a a me b. Ko te takirua anake pērā ko te otinga pūnaha.
\left(x^{2}-7x\right)+\left(-x+7\right)
Tuhia anō te x^{2}-8x+7 hei \left(x^{2}-7x\right)+\left(-x+7\right).
x\left(x-7\right)-\left(x-7\right)
Tauwehea te x i te tuatahi me te -1 i te rōpū tuarua.
\left(x-7\right)\left(x-1\right)
Whakatauwehea atu te kīanga pātahi x-7 mā te whakamahi i te āhuatanga tātai tohatoha.
x\left(x-7\right)\left(x-1\right)
Me tuhi anō te kīanga whakatauwehe katoa.