Question

Wt is zero of a polynomial

Answer 1

The constant polynomial whose coefficients are all equal to 0. The corresponding polynomial function is the constant function with value 0, also called the zero map. The zero polynomial is the additive identity of the additive group of polynomials.

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Answer 2

A polynomial with the value zero (0) is known as zero polynomial. Actually, the term 0 is itself zero polynomial. It is a constant polynomial whose all the coefficients are equal to 0.

If the coefficients of following form of polynomial:

bnxn+bn−1xn−1+bn−2xn−2+...+b2x2+b1x+b0

are zero, then it will become zero polynomial.

i.e. bn=bn−1=bn−2=...=b0=0

Hence, the above polynomial would7 become 0.

Thus, the zero polynomial may be can be written as P(x) = 0.

This polynomial is eventually the additive identity for other polynomials.