Use synthetic division to find the quotient and remainder. Show all steps and work to earn full credit. \frac{3x^3+2x-5}{x-1}

Given:
[tex]\frac{3x^3+2x-5}{x-1}[/tex]To find : The quotient and remainder using synthetic division.
Quotient:
[tex]3x^2+3x+5[/tex]Reaminder: 0