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.

Question

Mathematics

Kelsie Grant

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.

+5

Answers (1)

Know the Answer?

Tatiana Booth · 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.