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Can somebody please help me to factor the following DE?

[tex]2\frac{d^5y}{dx^5} -7\frac{d^4y}{dx^4} + 12\frac{d^3y}{dx^3} + 8\frac{d^2y}{dx^2} = 0[/tex]

The auxiliary equation of above DE is

[tex]2m^5 - 7m^4 + 12m^3 + 8m^2 = 0[/tex]

[tex]m^2(2m^3-7m^2 + 12m + 8) = 0[/tex]

The equation of [tex]2m^3-7m^2+12m+8[/tex] is cannot be factored in any form, at least after I try for several times.

Thanks in advance

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# Homework Help: Higher-Order DE factoring

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