Find all zeros of ƒ(x) = x2(x – 100)(x – 200). then determine the multiplicity at each zero. state whether the graph will touch or cross the x-axis at the zero.
a. x = 0, multiplicity = 2, touch
x = –100, multiplicity = 1, cross
x = –200, multiplicity = 1, cross

b. x = 0, multiplicity = 2, touch
x = –100, multiplicity = 1, cross
x = 200, multiplicity = 1, cross

c. x = 0, multiplicity = 2, cross
x = 100, multiplicity = 1, touch
x = 200, multiplicity = 1, touch

d. x = 0, multiplicity = 2, touch
x = 100, multiplicity = 1, cross
x = 200, multiplicity = 1, cross