Zeros of a polynomial can be defined as the points where the polynomial becomes zero on the whole. A polynomial having value zero (0) is called zero polynomial of the form p(x) = 0.

Any value of x can be a zero of a zero polynomial.

The number of zeroes of a zero polynomial = ∞ (Infinite)

Zeros of Zero Polynomial

A polynomial is an algebraic expression consisting of variables and coefficients that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. A zero polynomial is a polynomial of degree zero, which means that it is a constant polynomial having only one term. The constant term of a zero polynomial is always zero.

Zeros of a Polynomial

The zeros of a polynomial are the values of the variable that make the polynomial equal to zero. In other words, the zeros of a polynomial are the roots or solutions of the polynomial equation. For example, the zeros of the polynomial x^2 - 4 are x = 2 and x = -2, because these values of x make the polynomial equal to zero.

Zeros of Zero Polynomial

A zero polynomial has no coefficients other than the constant term, which is zero. Therefore, it has no variables or exponents, and it is always equal to zero. This means that the zero polynomial has an infinite number of zeros, which are all real numbers. In other words, any value of the variable x will make the zero polynomial equal to zero.

Short Answers - Polynomials

- What is a polynomial?
A polynomial is an algebraic expression consisting of variables and coefficients that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

- What is the degree of a polynomial?
The degree of a polynomial is the highest power of the variable in the polynomial.

- What are the zeros of a polynomial?
The zeros of a polynomial are the values of the variable that make the polynomial equal to zero.

- What is a zero polynomial?
A zero polynomial is a polynomial of degree zero, which means that it is a constant polynomial having only one term. The constant term of a zero polynomial is always zero.

- What are the zeros of a zero polynomial?
The zeros of a zero polynomial are all real numbers, because any value of the variable x will make the zero polynomial equal to zero.