Answer the following questions about P(x)=x^3-4x-3x+18: a. The polynomial P(x) has no remainder when divided by (x+2). List all of the roots of P(x).showing how

Answer the following questions about P(x)=x^3-4x²-3x+18: a. The polynomial P(x) has no remainder when divided by (x+2). List all of the roots of P(x).showing how you found the roots algebraically. b. Sketch a graph of the function f(x) =x+2/P(x) and explain or show algebraically how you found P(x) the asymptotes and holes, if any.