find the number of factors of polynomial f(x)=x^9-x

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(x^{9} - x)

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x).

f(x) = $2 x^{3} - 9 x^{2}$ + x + 12, g(x) = 3 - 2x

x^{9} - x^{4} + x^{12} + x - 2

f (x) = \frac{1}{\sqrt{x^{12} - x^{9} + x^{4} - x + 1}}

f (x) = 2 x^{3} + m x^{2} + n x - 14

(x - 1)

(x + 2)

\frac{m}{n}

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