According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? f of x is equal to open paren x cubed minus 3 x plus 1 close paren squared

The expression inside the square, x³ − 3x + 1, has degree 3. Squaring it doubles the degree, so f(x) has degree 6. By the Fundamental Theorem of Algebra, a degree-6 polynomial has 6 roots over the complex numbers, counting multiplicity; the correct choice is 6 roots.

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