Compute whether graph crosses or touches x-axis at intercept


For ploynomial, write every real zero and its multiplicity. Compute whether the graph crosses or touches x-axis at each x-intercept.

f(x)=3(x+3)(x-1)^2

a) -3, multiplicity 1, touches x-axis; 1, multiplicity 2, crosses x-axis

b) 3, multiplicity 1, touches x-axis; -1, multiplicity 2, crosses x-axis

c) 3, multiplicity 1, crosses x axis; -1, multiplicity 2, touches x-axis

d) -3, multiplicity 1, crosses x-axis; 1, multiplicity 2, touches x-axis

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Mathematics: Compute whether graph crosses or touches x-axis at intercept
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