<s>[INST] Finding value of $m$ such that such that the polynomial is factorized A polynomial $2x^2+mxy+3y^2-5y-2$ Find the value of $m$ much that $p(xy)$ can be factorized into two linear factors 
 [/INST] Putting $m = 7$ you obtain
\begin{align*}
(x+3y+1)(y+2x-2) &= xy+2x^2-2x+3y^2+6xy-6y+y+2x-2 \\
  &= 2x^2 + 7xy +3y^2-5y-2
\end{align*}
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