Tauwehe
\left(1-x\right)\left(x-2\right)\left(x+3\right)
Aromātai
-x^{3}+7x-6
Graph
Tohaina
Kua tāruatia ki te papatopenga
\left(x+3\right)\left(-x^{2}+3x-2\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 -6, ā, ka wehea e q te whakarea arahanga -1. Ko tetahi pūtake pērā ko -3. Tauwehea te pūrau mā te whakawehe mā te x+3.
a+b=3 ab=-\left(-2\right)=2
Whakaarohia te -x^{2}+3x-2. Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei -x^{2}+ax+bx-2. Hei kimi a me b, whakaritea tētahi pūnaha kia whakaoti.
a=2 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}+2x\right)+\left(x-2\right)
Tuhia anō te -x^{2}+3x-2 hei \left(-x^{2}+2x\right)+\left(x-2\right).
-x\left(x-2\right)+x-2
Whakatauwehea atu -x i te -x^{2}+2x.
\left(x-2\right)\left(-x+1\right)
Whakatauwehea atu te kīanga pātahi x-2 mā te whakamahi i te āhuatanga tātai tohatoha.
\left(x-2\right)\left(-x+1\right)\left(x+3\right)
Me tuhi anō te kīanga whakatauwehe katoa.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
Āhuahanga
4 \sin \theta \cos \theta = 2 \sin \theta
whārite paerangi
y = 3x + 4
Arithmetic
699 * 533
Poukapa
\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
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Whakarerekētanga
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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}