Section 4.2 Quiz 5.7 
Question: 
For the polynomial (x + 6)^{2}(x – 6), list each real zero and its multiplicity. Determine whether the graph crosses or touches the xaxis at each xintercept. 

–6, multiplicity 1, crosses the xaxis; 6, multiplicity 2, touches the xaxis 6, multiplicity 1, touches the xaxis; –6, multiplicity 2, crosses the xaxis 6, multiplicity 1, crosses the xaxis; –6, multiplicity 2, touches the xaxis –6, multiplicity 1, touches the xaxis; 6, multiplicity 2, crosses the xaxis 

Variation: 
For the polynomial –3(x + 1)(x – 1)^{2}, list each real zero and its multiplicity. Determine whether the graph crosses or touches the xaxis at each xintercept. 

1, multiplicity 1, touches the xaxis; –1, multiplicity 2, crosses the xaxis –1, multiplicity 1, crosses the xaxis; 1, multiplicity 2, touches the xaxis –1, multiplicity 1, touches the xaxis; 1, multiplicity 2, crosses the xaxis 1, multiplicity 1, crosses the xaxis; –1, multiplicity 2, touches the xaxis 