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[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

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[ACTION NAME]

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...

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system
Let  $ n>0$  be a natural number. Determine all the polynomials of degree  $ 2n$  with real coefficients in the form 
 $ P(X)\equal{}X^{2n}\plus{}(2n\minus{}10)X^{2n\minus{}1}\plus{}a_2X^{2n\minus{}2}\plus{}...\plus{}a_{2n\minus{}2}X^2\plus{}(2n\minus{}10)X\plus{}1$ ,
if it is known that all the roots of them are positive reals.

*Proposer*: **Baltag Valeriu**

Present the answer in LaTex format: \boxed{Your answer}
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