x^3+9x^2-165x+10 eching

$${ x }^{ 3 } +9 { x }^{ 2 } -165x+10$$

x ga nisbatan hosilani topish

$$3\left(x-5\right)\left(x+11\right)$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$3x^{3-1}+2\times 9x^{2-1}-165x^{1-1}$$

3 dan 1 ni ayirish.

$$3x^{2}+2\times 9x^{2-1}-165x^{1-1}$$

2 ni 9 marotabaga ko'paytirish.

$$3x^{2}+18x^{2-1}-165x^{1-1}$$

2 dan 1 ni ayirish.

$$3x^{2}+18x^{1}-165x^{1-1}$$

1 dan 1 ni ayirish.

$$3x^{2}+18x^{1}-165x^{0}$$

Har qanday t sharti uchun t^{1}=t.

$$3x^{2}+18x-165x^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$3x^{2}+18x-165$$

Baholash

$$x^{3}+9x^{2}-165x+10$$