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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.
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

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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. 
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.

anonymous · Answer

total number of zeros = degree = 5
real zeros = number of intercepts (including multiplicities) = 3
imaginary zeros = total - real = 5 - 3 = 2