Tauwehe
\left(1-x\right)\left(x-7\right)
Aromātai
\left(1-x\right)\left(x-7\right)
Graph
Tohaina
Kua tāruatia ki te papatopenga
-x^{2}+8x-7
Whakarea ka paheko i ngā kīanga tau ōrite.
a+b=8 ab=-\left(-7\right)=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 tōrunga te a+b, he tōrunga 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)+x-7
Whakatauwehea atu -x i te -x^{2}+7x.
\left(x-7\right)\left(-x+1\right)
Whakatauwehea atu te kīanga pātahi x-7 mā te whakamahi i te āhuatanga tātai tohatoha.
8x-7-x^{2}
Pahekotia te x me 7x, ka 8x.
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