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2\left(6x^{4}+15x^{3}+2x^{2}+5x\right)
Tauwehea te 2.
x\left(6x^{3}+15x^{2}+2x+5\right)
Whakaarohia te 6x^{4}+15x^{3}+2x^{2}+5x. Tauwehea te x.
\left(2x+5\right)\left(3x^{2}+1\right)
Whakaarohia te 6x^{3}+15x^{2}+2x+5. 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 5, ā, ka wehea e q te whakarea arahanga 6. Ko tetahi pūtake pērā ko -\frac{5}{2}. Tauwehea te pūrau mā te whakawehe mā te 2x+5.
2x\left(2x+5\right)\left(3x^{2}+1\right)
Me tuhi anō te kīanga whakatauwehe katoa. Kāore te pūrau 3x^{2}+1 i whakatauwehea i te mea kāhore ōna pūtake whakahau.