Divide this rational function using polynomial long division. State the quotient and the remainder. …..

Quotient:
[tex]x^3-8x+12[/tex]Remainder:
[tex]-20[/tex]Explanation:Given the expression
[tex]\frac{x^{4} +3x^{3} -8x^{2} -12x +16}{x +3}[/tex]The quotient is:
[tex]x^3-8x+12[/tex]The remainder is -20