Question

What are the difference between Zero polynomial and Zero of the polynomial ? ​

Answer 1

Answer:

A Zero Polynomial is a polynomial in which all variable coefficients are all equal to zero. ... Zeros of the polynomial is the value of x which makes the entire equation or polynomial equal to 0.

Step-by-step explanation:

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Answer 2

Answer :

Zeros of a polynomial are roots of the polynomial if such a polynomial can be factorized to p(x) = (x-a1)(x-a2)……(x-ai). Also called algebraic, and counterpart is transparent which means some x satisfy the polynomial but it is not an algebraic solution.

Zero polynomial is called when some topics are involved with for example ring theory. Polynomial ring is one kind of rings. Ring is an algebraic structure which requires additive neutral element and multiplicative element. And sometimes you will see 0=1 or 0 = 1 which distinguish field and rings but not a field. But whatever, 0 must be contained in a ring, called zero-ring. And, under polynomial case, the neutral element defined on polynomial ring is called zero polynomial which only denotes p(x) = 0 with such a polynomial ring defined.