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Describe the number and nature of the roots of the function. (You may want to view the graph ofthe function to help you identify the nature of the roots)O 5 real and 5 non-real roots.O 4 real and 1 non-real roots.O 5 real and O non-real roots.O 1 real and 4 non-real roots.

Describe the number and nature of the roots of the function You may want to view the graph ofthe function to help you identify the nature of the rootsO 5 real a class=

Respuesta :

Given the following function:

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

we have tha the graph of f(x) is the following:

notice that the graph only intersects the x-axis one time. Since the function is a polynomial function of degree 5, we have that f(x) must have 1 real root and 4 non real roots

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