Question

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.

Answer 1

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.