What is the maximum number of real roots for the function (f(x) = x^5 - 4x^3 + 2x^2 - 8)?

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Step:1 ：To find the maximum number of real roots of a polynomial function, we can use the Fundamental Theorem of Algebra which states that a polynomial of degree (n) has exactly (n) roots, counting multiplicity.Step:2 ：The degree of the polynomial function (f(x) = x^5 - 4x^3 + 2x^2 - 8) is 5, which is the highest power of (x).Step:3 ：Therefore, the maximum number of real roots for the function is 5.

Answer

Step: 1 ：To find the maximum number of real roots of a polynomial function, we can use the Fundamental Theorem of Algebra which states that a polynomial of degree (n) has exactly (n) roots, counting multiplicity.Step: 2 ：The degree of the polynomial function (f(x) = x^5 - 4x^3 + 2x^2 - 8) is 5, which is the highest power of (x).Step: 3 ：Therefore, the maximum number of real roots for the function is 5.

What is the maximum number of real roots for the function \(f(x) = x^5 - 4x^3 + 2x^2 - 8\)?

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