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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. |
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–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 |
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| 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. |
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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 |