9. Simplify the following expression, for \( x \neq 0 \) \( \frac{9 x^{3}+4 x^{2}}{x} \) \( \frac{9 x^{3}+4 x^{2}}{x}= \) Enter your next step here

To simplify the expression \( \frac{9 x^{3}+4 x^{2}}{x} \), you can factor out the \( x \) from the numerator. This gives you \( \frac{x(9x^{2}+4x)}{x} \). Since \( x \neq 0 \), you can safely cancel the \( x \) in the numerator and the denominator, leading to \( 9x^{2}+4x \). Next, you can further factor the resulting expression \( 9x^{2}+4x \). Factoring \( x \) out gives you \( x(9x + 4) \). So, the finalized simplified version is \( x(9x + 4) \). This shows how polynomial expressions can often be simplified through factoring techniques!