6x^5+2x^4-18x^3-6x^2 eching

$$6 x ^ { 5 } + 2 x ^ { 4 } - 18 x ^ { 3 } - 6 x ^ { 2 }$$

Omil

$$2\left(3x+1\right)x^{2}\left(x^{2}-3\right)$$

Yechim qadamlari

2 omili.

$$2\left(3x^{5}+x^{4}-9x^{3}-3x^{2}\right)$$

Hisoblang: 3x^{5}+x^{4}-9x^{3}-3x^{2}. x^{2} omili.

$$x^{2}\left(3x^{3}+x^{2}-9x-3\right)$$

Hisoblang: 3x^{3}+x^{2}-9x-3. 3x^{3}+x^{2}-9x-3=\left(3x^{3}+x^{2}\right)+\left(-9x-3\right) misolini guruhlang hamda x^{2} ni birinchi va -3 ni ikkinchi guruhdan ajrating.

$$x^{2}\left(3x+1\right)-3\left(3x+1\right)$$

Distributiv funktsiyasidan foydalangan holda 3x+1 umumiy terminini chiqaring.

$$\left(3x+1\right)\left(x^{2}-3\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing. Koʻphadli x^{2}-3 faktorlanmagan, chunki unda ratsional ildizlar topilmadi.

$$2x^{2}\left(3x+1\right)\left(x^{2}-3\right)$$

Baholash

$$2\left(3x+1\right)x^{2}\left(x^{2}-3\right)$$