x^4+5x^2-4x^3-20x eching

$$x ^ { 4 } + 5 x ^ { 2 } - 4 x ^ { 3 } - 20 x$$

Omil

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

Yechim qadamlari

x omili.

$$x\left(x^{3}+5x-4x^{2}-20\right)$$

Hisoblang: x^{3}+5x-4x^{2}-20. x^{3}+5x-4x^{2}-20=\left(x^{3}+5x\right)+\left(-4x^{2}-20\right) misolini guruhlang hamda x ni birinchi va -4 ni ikkinchi guruhdan ajrating.

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

Distributiv funktsiyasidan foydalangan holda x^{2}+5 umumiy terminini chiqaring.

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

Toʻliq ajratilgan ifodani qaytadan yozing. Koʻphadli x^{2}+5 faktorlanmagan, chunki unda ratsional ildizlar topilmadi.

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

Baholash

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