Question

For the polynomial f(x) = (1/5)x(x² - 5), list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x-intercept.
a. 0, multiplicity 1, touches x-axis; √5, multiplicity 1, touches x-axis; -√5, multiplicity 1, touches x-axis
b. 0, multiplicity 1, crosses x-axis; √5, multiplicity 1, crosses x-axis; -√5, multiplicity 1, crosses x-axis
c. √5, multiplicity 1, touches x-axis; -√5, multiplicity 1, touches x-axis
d. 0, multiplicity 1