Complete the table given the function
f(x)=x^2(x+1)^3(x-2)^4(x+2)^5(x-5)^2

Answer:
x=0 , tangent
x= -1, Crosses
x= 2, tangent
x= -2, Crosses
x= 5, tangent
Because:
Even Multiplicity is tangent
while odd multiplicity crosses