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9 May, 07:22

The graph of a polynomial of degree 7 has five x-intercepts, all with multiplicity 1. Describe the nature and number of all its zeros

A. The function has 7 real zeros

B. The function has 5 read zeros.

C. The function has 5 real zeros and 2 complex zeros

D. The function has 2 real zeros and 5 complex zeros.

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Answers (1)
  1. 9 May, 09:08
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    Do you know that multiplicity means the number of times any factor appears in the factored result? Just checking. For example The graph of y = x^2 - 2x + 1 has a multiplicity of 2. they are y = (x - 1) * (x - 1)

    y = x^2 - 3x - 4 has 2 factors.

    y = (x - 4) (x + 1) each of the factors has a multiplicity of 1.

    So the answer to your question is there are 5 real zeros and 2 complex zeros.
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