Incorrect. To simplify rational expressions, factor the numerator and denominator.

$\displaystyle\frac{{{3}{{x}}^{{2}}+{7}{x}+{2}}}{{{3}{{x}}^{{2}}-{8}{x}-{3}}}=\frac{{{\left({3}{x}+{1}\right)}{\left({x}+{2}\right)}}}{{{\left({3}{x}+{1}\right)}{\left({x}-{3}\right)}}}\usepackage{cmbright}\Huge\$

Separate the like factors from the others, and simplify fractions with equal numerators and denominators to 1. The correct answer is 2.