Question

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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.

Answer 1

Answer: C) 3 real zeros and 2 imaginary zeros

Explanation:

A function with a degree of 5 must have 5 total zeros.

It is given that there are 3 x-intercepts (zeros) and each has a multiplicity of 1, so there are 3 x 1 = 3 real zeros.

real + imaginary = 5

3 + imaginary = 5

imaginary = 2