Answer:[tex]2x^3-3x+4+\frac{5}{3x-5}[/tex]Step-by-step explanation:Use polynomial; long division to divide the two polynomials. Remember to put each polynomial in standard form, or rather organize each polynomial by their degree (exponent). The polynomial with the highest exponent will go first, then each with its varying exponent will suceed. _____[tex]\underline{2x^2\ \ -\ \ 3x\ \ +4}[/tex][tex]3x-5[/tex] | [tex]6x^3 - 19x^2+27x-15[/tex] [tex]\underline{-6x^3+10x^2}[/tex] [tex]-9x^2+27x[/tex] [tex]\underline{+9x^2-15x}[/tex] [tex]12x-15[/tex] [tex]\underline{-12x+20}[/tex] [tex]5[/tex]