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V2={dx^3-bx^2 -d|d,b exists in R}

find all the values of a,b that [tex]f(x)\epsilon V1\cap V2[/tex]

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find all the values of a,b that [tex]f(x)\epsilon V1+ V2[/tex]

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i know how to solve such question using vectors

but

they are not using using vector but some hoe check the coefficients

??l