Whakaoti i te 2x^5-7x^3-4x^2-3x^3

$$2 { x }^{ 5 } -7 { x }^{ 3 } -4 { x }^{ 2 } -3 { x }^{ 3 }$$

Tauwehe

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

Ngā Upane Otinga

Tauwehea te x^{2}.

$$x^{2}\left(2x^{3}-7x-4-3x\right)$$

Whakaarohia te 2x^{3}-7x-4-3x. Whakarea ka paheko i ngā kīanga tau ōrite.

$$2x^{3}-10x-4$$

Whakaarohia te 2x^{3}-10x-4. Tauwehea te 2.

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

Whakaarohia te x^{3}-5x-2. 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 -2, ā, ka wehea e q te whakarea arahanga 1. Ko tetahi pūtake pērā ko -2. Tauwehea te pūrau mā te whakawehe mā te x+2.

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

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

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

Aromātai

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

Ngā Upane Otinga

Pahekotia te -7x^{3} me -3x^{3}, ka -10x^{3}.

$$2x^{5}-10x^{3}-4x^{2}$$