f(x)=3x^2-12x eching

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

Omil

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

Yechim qadamlari

3 omili.

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

Hisoblang: x^{2}-4x. x omili.

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

Toʻliq ajratilgan ifodani qaytadan yozing.

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

Kvadrat tenglamalaridan foydalanish qoidalari

Kvadrat koʻp tenglama bu orqali hisoblanadi: ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), bu yerda x_{1} va x_{2} ax^{2}+bx+c=0 kvadrat tenglamaning yechimlari.

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

ax^{2}+bx+c=0 shaklidagi barcha tenglamalarni kvadrat formulasi bilan yechish mumkin: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Kvadrat formula ikki yechmni taqdim qiladi, biri ± qo'shish bo'lganda, va ikkinchisi ayiruv bo'lganda.

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

\left(-12\right)^{2} ning kvadrat ildizini chiqarish.

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

-12 ning teskarisi 12 ga teng.

$$x=\frac{12±12}{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$x=\frac{12±12}{6}$$

x=\frac{12±12}{6} tenglamasini yeching, bunda ± musbat. 12 ni 12 ga qo'shish.

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

24 ni 6 ga bo'lish.

$$x=4$$

x=\frac{12±12}{6} tenglamasini yeching, bunda ± manfiy. 12 dan 12 ni ayirish.

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

0 ni 6 ga bo'lish.

$$x=0$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun 4 ga va x_{2} uchun 0 ga bo‘ling.

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

Baholash

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