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Tohaina

t\left(t^{2}-4t+3\right)
Tauwehea te t.
a+b=-4 ab=1\times 3=3
Whakaarohia te t^{2}-4t+3. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei t^{2}+at+bt+3. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
a=-3 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(t^{2}-3t\right)+\left(-t+3\right)
Tuhia anō te t^{2}-4t+3 hei \left(t^{2}-3t\right)+\left(-t+3\right).
t\left(t-3\right)-\left(t-3\right)
Tauwehea te t i te tuatahi me te -1 i te rōpū tuarua.
\left(t-3\right)\left(t-1\right)
Whakatauwehea atu te kīanga pātahi t-3 mā te whakamahi i te āhuatanga tātai tohatoha.
t\left(t-3\right)\left(t-1\right)
Me tuhi anō te kīanga whakatauwehe katoa.