The given polynomial is :
[tex]2x^3+3x^2+5x-4[/tex]and the divisor is
[tex]x^2+x+1[/tex]Divide the expression,
Thus, Quotient is 2x + 1 and remainder = 2x -5
Since, according to the division alogrithm
Dividend = Divisor x Quotient + remainder
[tex]2x^3+3x^2+5x-4[/tex]