parisminaj13 parisminaj13
  • 26-02-2019
  • Mathematics
contestada

analyze the zeros of f(x)=x^4-3x^3-2x^2+3x-5


Determine the number of complex zeros.


a.2

c.1

b.4

d.3





Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 26-02-2019

Answer:

a. 2

Step-by-step explanation:

The given function is

[tex]f(x)=x^4-3x^3-2x^2+3x-5[/tex].

We can see from the graph that the graph has two x-intercepts.

This means that the function has two real zeros.

By the fundamental theorem of Algebra, the function is supposed have four roots since it is a polynomial of degree 4.

Therefore, the other two zeros are complex.

See graph

Ver imagen kudzordzifrancis
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