Among the given polynomials equations, select the biquadratic polynomial equation(s).

- 4 x^{4} - x^{3} + 2 x - 9 = 0

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x^{2} - x = 0

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(x^{2} - 4) (2 x - x^{2}) = 0

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(x - 2) (2 x - 4) (x - 4) (x + 1) = 0

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Solution

The correct option is D $(x - 2) (2 x - 4) (x - 4) (x + 1) = 0$
Any polynomial having a degree $4$ will be biquadratic.
Among the given options, we have the equations:
$- 4 x^{4} - x^{3} + 2 x - 9 = 0$
$(x^{2} - 4) (2 x - x^{2}) = 0$
$& (x - 2) (2 x - 4) (x - 4) (x + 1) = 0$ have degree as $4.$
Hence, these are all biquadratic polynomial equations.

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