Calculus question on continuity?

Question

Give the two functions f and h such that f(x) = x^3-3x^2-4x+12 and h(x) = {[(f(x))/(x-3), for x not equal to 3] and [p, for x=3]}

a) find all zeros of function f ( i found 2, -2, and 3)

b) Find the value of p so that the function h is continuous at x=3.( dont know this one)

c) using value of p found in part b, determine whether h is an even function. ( what is part B though)

Answer 1

if you need h to be continuous @ x=3 then

the value of h(3) must be equal to the value of lim(f(x)/(x-3), x->3)

lim(f(x)/(x-3), x->3)=lim(x^2-4, x->3)=5

h(3)=5=p

an even function holds f(x)=f(-x)

x^2-4 is an even function & p is a point on the graph of h so h is an even function