Zero of the zero polynomial is

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Every real number

Not defined

answer is D.

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Detailed Solution

It is given the zero of a polynomial of degree 0.
We know that the general form of a polynomial of degree n is given by

a n x n + a n − 1 x n − 1 + ...... + a 1 x + a 0

,where n

∈ ℝ +

and a is any constant coefficient.
It can be clearly seen that the polynomial has

x 0

as it is zero polynomial.
But the zero of the zero polynomial cannot be determined since the functional value of this expression remains constant at the coefficient of

x 0

and cannot be determined at any value of x when

x ∈ ℝ

.
Therefore, the zero of a polynomial of degree 0 cannot be defined.
Hence, option 4 is correct.

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