For a Biquadratic Equation, $x^{4} + 2 x^{2} + x + 1 = 0$ , what can be the maximum number of roots.

5

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3

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4

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None of the above

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Solution

The correct option is C $4$
The degree of the polynomial is always the maximum number of roots an equation has.
The degree for the equation $x^{4} + 2 x^{2} + x + 1 = 0$ is $4$ .
Hence the maximum number of roots is $4$ in this equation.

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