Whakaoti i te 12u^5-30u^4+12u^3+12u^2-6u

$$12 u ^ { 5 } - 30 u ^ { 4 } + 12 u ^ { 3 } + 12 u ^ { 2 } - 6 u$$

Tauwehe

$$6u\left(u-1\right)\left(2u-1\right)\left(u^{2}-u-1\right)$$

Ngā Upane Otinga

Tauwehea te 6.

$$6\left(2u^{5}-5u^{4}+2u^{3}+2u^{2}-u\right)$$

Whakaarohia te 2u^{5}-5u^{4}+2u^{3}+2u^{2}-u. Tauwehea te u.

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

Whakaarohia te 2u^{4}-5u^{3}+2u^{2}+2u-1. Tā te Rational Root Theorem, ko ngā pūtake whakahau katoa o tētahi pūrau kei te āhua o \frac{p}{q}, ina wehea e p te kīanga pūmau -1, ā, ka wehea e q te whakarea arahanga 2. Ko tetahi pūtake pērā ko \frac{1}{2}. Tauwehea te pūrau mā te whakawehe mā te 2u-1.

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

Whakaarohia te u^{3}-2u^{2}+1. Tā te Rational Root Theorem, ko ngā pūtake whakahau katoa o tētahi pūrau kei te āhua o \frac{p}{q}, ina wehea e p te kīanga pūmau 1, ā, ka wehea e q te whakarea arahanga 1. Ko tetahi pūtake pērā ko 1. Tauwehea te pūrau mā te whakawehe mā te u-1.

$$\left(u-1\right)\left(u^{2}-u-1\right)$$

Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau u^{2}-u-1 i whakatauwehea i te mea kāhore ōna pūtake whakahau.

$$6u\left(2u-1\right)\left(u-1\right)\left(u^{2}-u-1\right)$$

Aromātai

$$6u\left(u-1\right)\left(2u-1\right)\left(u^{2}-u-1\right)$$