Tauwehe
2\left(2x-3\right)\left(2x-1\right)\left(\frac{x}{2}-2\right)
Aromātai
4x^{3}-24x^{2}+35x-12
Graph
Tohaina
Kua tāruatia ki te papatopenga
\left(2x-3\right)\left(2x^{2}-9x+4\right)
Tā te Rational Root Theorem, ko ngā pūtake whakahau katoa o tētahi pūrau kei te āhua o \frac{p}{q}, ina wehea e p te kīanga pūmau -12, ā, ka wehea e q te whakarea arahanga 4. Ko tetahi pūtake pērā ko \frac{3}{2}. Tauwehea te pūrau mā te whakawehe mā te 2x-3.
a+b=-9 ab=2\times 4=8
Whakaarohia te 2x^{2}-9x+4. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei 2x^{2}+ax+bx+4. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
-1,-8 -2,-4
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 8.
-1-8=-9 -2-4=-6
Tātaihia te tapeke mō ia takirua.
a=-8 b=-1
Ko te otinga te takirua ka hoatu i te tapeke -9.
\left(2x^{2}-8x\right)+\left(-x+4\right)
Tuhia anō te 2x^{2}-9x+4 hei \left(2x^{2}-8x\right)+\left(-x+4\right).
2x\left(x-4\right)-\left(x-4\right)
Tauwehea te 2x i te tuatahi me te -1 i te rōpū tuarua.
\left(x-4\right)\left(2x-1\right)
Whakatauwehea atu te kīanga pātahi x-4 mā te whakamahi i te āhuatanga tātai tohatoha.
\left(x-4\right)\left(2x-3\right)\left(2x-1\right)
Me tuhi anō te kīanga whakatauwehe katoa.
Ngā Tauira
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\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
whārite Simultaneous
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Whakarerekētanga
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Whakaurunga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Ngā Tepe
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}