Problem

Find the maximum number of real roots of the function \(f(x) = x^5 - 6x^4 + 9x^3 - 4x^2 + x - 2\).

Answer

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Answer

The given function \(f(x) = x^5 - 6x^4 + 9x^3 - 4x^2 + x - 2\) is a polynomial function of degree 5.

Steps

Step 1 ：The maximum number of real roots of a polynomial function is equal to its degree.

Step 2 ：The given function \(f(x) = x^5 - 6x^4 + 9x^3 - 4x^2 + x - 2\) is a polynomial function of degree 5.

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