-675x^2+x^4/2+3x^3+675x eching

$$-675 { x }^{ 2 } + \frac{ { x }^{ 4 } }{ 2 } +3 { x }^{ 3 } +675x$$

Baholash

$$\frac{x\left(x^{3}+6x^{2}-1350x+1350\right)}{2}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -675x^{2}+3x^{3}+675x ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{2\left(-675x^{2}+3x^{3}+675x\right)}{2}+\frac{x^{4}}{2}$$

\frac{2\left(-675x^{2}+3x^{3}+675x\right)}{2} va \frac{x^{4}}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2\left(-675x^{2}+3x^{3}+675x\right)+x^{4}}{2}$$

2\left(-675x^{2}+3x^{3}+675x\right)+x^{4} ichidagi ko‘paytirishlarni bajaring.

$$\frac{-1350x^{2}+6x^{3}+1350x+x^{4}}{2}$$

Omil

$$\frac{x\left(x^{3}+6x^{2}-1350x+1350\right)}{2}$$

Yechim qadamlari

\frac{1}{2} omili.

$$\frac{-1350x^{2}+x^{4}+6x^{3}+1350x}{2}$$

Hisoblang: -1350x^{2}+x^{4}+6x^{3}+1350x. x omili.

$$x\left(-1350x+x^{3}+6x^{2}+1350\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing. Koʻphadli -1350x+x^{3}+6x^{2}+1350 faktorlanmagan, chunki unda ratsional ildizlar topilmadi.

$$\frac{x\left(-1350x+x^{3}+6x^{2}+1350\right)}{2}$$