The graph of a polynomial function of degree 5 has three x-intercepts, all with multiplicity 1. Describe the nature and number of all its zeros.

A) The function has 5 real zeros. B) The function has 3 real zeros. C) The function has 3 real and 2 imaginary zeros. D) The function has 2 real and 3 imaginary zeros.

Question

Mathematics

Kian Gates

20 May, 07:59

The graph of a polynomial function of degree 5 has three x-intercepts, all with multiplicity 1. Describe the nature and number of all its zeros.

A) The function has 5 real zeros. B) The function has 3 real zeros. C) The function has 3 real and 2 imaginary zeros. D) The function has 2 real and 3 imaginary zeros.

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Answers (1)

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Nathen · Answer 1

I think the answer is C. It does have 3 zeros (as B also says) but since it is a 5th degree polynomial, it must have 5 zeros. Since the other 3 are multiplicity 1, 2 of the zeros are imaginary.