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Question Number 7043 by Tawakalitu. last updated on 07/Aug/16
Resolve into factors    x^(35)  + x^(19)  + x^(17)  + x^2  − 1
$${Resolve}\:{into}\:{factors} \\ $$$$ \\ $$$${x}^{\mathrm{35}} \:+\:{x}^{\mathrm{19}} \:+\:{x}^{\mathrm{17}} \:+\:{x}^{\mathrm{2}} \:−\:\mathrm{1} \\ $$$$ \\ $$$$ \\ $$
Commented by prakash jain last updated on 07/Aug/16
x^(35) +x^(18) +x^(17) +x^(19) +x^2 +x−x^(18) −x−1  x^(17) (x^(18) +x+1)+x(x^(18) +x+1)−(x^(18) +x+1)  (x^(18) +x+1)(x^(17) +x−1)  continue
$${x}^{\mathrm{35}} +{x}^{\mathrm{18}} +{x}^{\mathrm{17}} +{x}^{\mathrm{19}} +{x}^{\mathrm{2}} +{x}−{x}^{\mathrm{18}} −{x}−\mathrm{1} \\ $$$${x}^{\mathrm{17}} \left({x}^{\mathrm{18}} +{x}+\mathrm{1}\right)+{x}\left({x}^{\mathrm{18}} +{x}+\mathrm{1}\right)−\left({x}^{\mathrm{18}} +{x}+\mathrm{1}\right) \\ $$$$\left({x}^{\mathrm{18}} +{x}+\mathrm{1}\right)\left({x}^{\mathrm{17}} +{x}−\mathrm{1}\right) \\ $$$${continue} \\ $$
Commented by Tawakalitu. last updated on 08/Aug/16
Wow.. short and explanatory... thanks so much
$${Wow}..\:{short}\:{and}\:{explanatory}…\:{thanks}\:{so}\:{much} \\ $$

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