Divide the following. Give your answer in the form quotient+remainderdivisor\displaystyle \text{quotient}+\frac{\text{remainder}}{\text{divisor}}

15x325x2+7x+23x2=\displaystyle \frac{{{15}{x}^{{3}}-{25}{x}^{{2}}+{7}{x}+{2}}}{{{3}{x}-{2}}}=