Tauwehe
\left(x-6\right)\left(x-1\right)
Aromātai
\left(x-6\right)\left(x-1\right)
Graph
Tohaina
Kua tāruatia ki te papatopenga
x^{2}-7x+6
Whakarea ka paheko i ngā kīanga tau ōrite.
a+b=-7 ab=1\times 6=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 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. Whakarārangitia ngā tau tōpū takirua pērā katoa ka hoatu i te hua 6.
-1-6=-7 -2-3=-5
Tātaihia te tapeke mō ia takirua.
a=-6 b=-1
Ko te otinga te takirua ka hoatu i te tapeke -7.
\left(x^{2}-6x\right)+\left(-x+6\right)
Tuhia anō te x^{2}-7x+6 hei \left(x^{2}-6x\right)+\left(-x+6\right).
x\left(x-6\right)-\left(x-6\right)
Tauwehea te x i te tuatahi me te -1 i te rōpū tuarua.
\left(x-6\right)\left(x-1\right)
Whakatauwehea atu te kīanga pātahi x-6 mā te whakamahi i te āhuatanga tātai tohatoha.
x^{2}-7x+6
Pahekotia te -5x me -2x, ka -7x.
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