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 x-axis at each x-intercept.
 
    –6, multiplicity 1, crosses the x-axis; 6, multiplicity 2, touches the x-axis
6, multiplicity 1, touches the x-axis; –6, multiplicity 2, crosses the x-axis
6, multiplicity 1, crosses the x-axis; –6, multiplicity 2, touches the x-axis
–6, multiplicity 1, touches the x-axis; 6, multiplicity 2, crosses the x-axis
 
  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 x-axis at each x-intercept.
 
    1, multiplicity 1, touches the x-axis; –1, multiplicity 2, crosses the x-axis
–1, multiplicity 1, crosses the x-axis; 1, multiplicity 2, touches the x-axis
–1, multiplicity 1, touches the x-axis; 1, multiplicity 2, crosses the x-axis
1, multiplicity 1, crosses the x-axis; –1, multiplicity 2, touches the x-axis