Answer
$8x^{2}+7x-5$
Work Step by Step
$ \begin{array}{rrrr}
& 7x^{2} & -9x & +3\\
+ & 4x^{2} & +11x & -2\\
+ & (-3)x^{2} & +5x & -6\\
\hline & & & \\
= & (7+4-3)x^{2} & +(-9+11+5)x & +(3-2-6)\\
& & & \\
= & 8x^{2} & +7x & -5
\end{array} $