find the derivative, show that it will always be positive

set the derivative you found in part (a) to 0 and solve for x. you will get two solutions. note that must be positive for the solutions to work.b.) if a>0, show that p(x) has a local maximum and minimum

it shouldn't be hard coming up with examples. just plug in a number for a>0 and graph that, then plug in a number for a<0 and graph that. the families of curves should all look familiarc.) sketch and label typical graphs for the cases when a<0 and when a>0