Whakaoti i te f(x)=3x^2-12x

$$f ( x ) = 3 x ^ { 2 } - 12 x$$

Tauwehe

$$3x\left(x-4\right)$$

Ngā Upane Otinga

Tauwehea te 3.

$$3\left(x^{2}-4x\right)$$

Whakaarohia te x^{2}-4x. Tauwehea te x.

$$x\left(x-4\right)$$

Me tuhi anō te kīanga whakatauwehe katoa.

$$3x\left(x-4\right)$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Ka taea te huamaha pūrua te tauwehe mā te whakamahi i te huringa ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), ina ko x_{1} me x_{2} ngā otinga o te whārite pūrua ax^{2}+bx+c=0.

$$3x^{2}-12x=0$$

Ko ngā whārite katoa o te āhua ax^{2}+bx+c=0 ka taea te whakaoti mā te whakamahi i te tikanga tātai pūrua: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. E rua ngā otinga ka puta i te tikanga tātai pūrua, ko tētahi ina he tāpiri a ±, ā, ko tētahi ina he tango.

$$x=\frac{-\left(-12\right)±\sqrt{\left(-12\right)^{2}}}{2\times 3}$$

Tuhia te pūtakerua o te \left(-12\right)^{2}.

$$x=\frac{-\left(-12\right)±12}{2\times 3}$$

Ko te tauaro o -12 ko 12.

$$x=\frac{12±12}{2\times 3}$$

Whakareatia 2 ki te 3.

$$x=\frac{12±12}{6}$$

Nā, me whakaoti te whārite x=\frac{12±12}{6} ina he tāpiri te ±. Tāpiri 12 ki te 12.

$$x=\frac{24}{6}$$

Whakawehe 24 ki te 6.

$$x=4$$

Nā, me whakaoti te whārite x=\frac{12±12}{6} ina he tango te ±. Tango 12 mai i 12.

$$x=\frac{0}{6}$$

Whakawehe 0 ki te 6.

$$x=0$$

Tauwehea te kīanga taketake mā te whakamahi i te ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right). Me whakakapi te 4 mō te x_{1} me te 0 mō te x_{2}.

$$3x^{2}-12x=3\left(x-4\right)x$$

Aromātai

$$3x\left(x-4\right)$$