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.

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

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

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

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