f(x)=-4x^3/3+5x^2-4x-1 eching

$$f ( x ) = - \frac { 4 x ^ { 3 } } { 3 } + 5 x ^ { 2 } - 4 x - 1$$

Baholash

$$-\frac{4x^{3}}{3}+5x^{2}-4x-1$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5x^{2}-4x-1 ni \frac{3}{3} marotabaga ko'paytirish.

$$-\frac{4x^{3}}{3}+\frac{3\left(5x^{2}-4x-1\right)}{3}$$

-\frac{4x^{3}}{3} va \frac{3\left(5x^{2}-4x-1\right)}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-4x^{3}+3\left(5x^{2}-4x-1\right)}{3}$$

-4x^{3}+3\left(5x^{2}-4x-1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{-4x^{3}+15x^{2}-12x-3}{3}$$

Omil

$$\frac{-4x^{3}+15x^{2}-12x-3}{3}$$

Yechim qadamlari

\frac{1}{3} omili. Koʻphadli -4x^{3}+15x^{2}-12x-3 faktorlanmagan, chunki unda ratsional ildizlar topilmadi.

$$\frac{-4x^{3}+15x^{2}-12x-3}{3}$$