Tauwehe
\left(x-2\right)\left(x+7\right)
Aromātai
\left(x-2\right)\left(x+7\right)
Graph
Tohaina
Kua tāruatia ki te papatopenga
x^{2}+5x-14
Whakarea ka paheko i ngā kīanga tau ōrite.
a+b=5 ab=1\left(-14\right)=-14
Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei x^{2}+ax+bx-14. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
-1,14 -2,7
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. Whakarārangitia ngā tau tōpū takirua pērā katoa ka hoatu i te hua -14.
-1+14=13 -2+7=5
Tātaihia te tapeke mō ia takirua.
a=-2 b=7
Ko te otinga te takirua ka hoatu i te tapeke 5.
\left(x^{2}-2x\right)+\left(7x-14\right)
Tuhia anō te x^{2}+5x-14 hei \left(x^{2}-2x\right)+\left(7x-14\right).
x\left(x-2\right)+7\left(x-2\right)
Tauwehea te x i te tuatahi me te 7 i te rōpū tuarua.
\left(x-2\right)\left(x+7\right)
Whakatauwehea atu te kīanga pātahi x-2 mā te whakamahi i te āhuatanga tātai tohatoha.
x^{2}+5x-14
Pahekotia te -2x me 7x, ka 5x.
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