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B\'ona conjectured that the descent polynomials on $(n-2)$-stack sortablepermutations have only real zeros. Br\"and\'en proved this conjecture byestablishing a more general result. In this paper, we give another proof ofBr\"and\'en's result by using the theory of $s$-Eulerian polynomials recentlydeveloped by Savage and Visontai.

On the Real-rootedness of the Descent Polynomials of $(n-2)$-Stack Sortable Permutations