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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

x^{2}+4x-5
Whakarea ka paheko i ngā kīanga tau ōrite.
a+b=4 ab=1\left(-5\right)=-5
Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei x^{2}+ax+bx-5. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
a=-1 b=5
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. Ko te takirua anake pērā ko te otinga pūnaha.
\left(x^{2}-x\right)+\left(5x-5\right)
Tuhia anō te x^{2}+4x-5 hei \left(x^{2}-x\right)+\left(5x-5\right).
x\left(x-1\right)+5\left(x-1\right)
Tauwehea te x i te tuatahi me te 5 i te rōpū tuarua.
\left(x-1\right)\left(x+5\right)
Whakatauwehea atu te kīanga pātahi x-1 mā te whakamahi i te āhuatanga tātai tohatoha.
x^{2}+4x-5
Pahekotia te 5x me -x, ka 4x.