Is zero (0) a polynomial? Why or why not?

Question

Sorry I'm just a 13 year old high school kid so please help! v___v

Answer 1

yes it is. you have a very special type of polynomials called null-polynomials where all factors are equal to 0 ie
0x^3 + 0x^2 + 0x^0 (null-polynomial of the third degree)

0 is a nullpolynomial of the 0th degree that is:
0x^0 = (since x^0 = 1) = 0 * 1 = 0

there is a very important theorem about polynomials with nullpolynomials being the only exception:
every polynomial of the n-th degree with real coefficients has *exactly* n solutions for x in the complex set of numbers so that polynomial is equal to 0, *except* when the polynomial is a nullpolynomial

(when it is a nullpolynomial, then for any x you choose polynomial will be equal to 0, so it has infinite number of solutions for polynomial to be equal to 0)

Answer 2

A binomial is an expression with 2 terms, separated by - or +, such as 2b -4a. But even when a binomial sums to 0, that doesn't make 0 itself a binomial.

Same for a polynomial. 3a -2b +3c, as a polynomial expression, might sum to 0. But that doesn't make 0 itself a polynomial.

Answer 3

Yes, zero is a polynomial. You can express it in terms of coefficients, exponents, and variables of x:

0 = 0x^0
5 = 5x^0
4x = 4x^1

These are all polynomials, it's just that the coefficient and exponent of any term in the zero polynomial is zero.

Hope this helps.

Answer 4

a polhnomial is a mathematical expression consisting of a sum of terms, each term including a variable raised to a power and multiplied by a coeffieient

Click on the URL below for additional information on polynominals

whatis.techtarget.com/definition/0,,sid9_gci331386,00.html

Answer 5

0 os just a shorter form of
0 + 0*x + 0*x^2 + 0*x^3 + 0*x^4 ... and so on
So yes, 0 is a polynom.

Answer 6

aCCordiNg to whaT I haVE learNed so Far in ouR aLgebra LessonS, no iT is not. a poLynomiaL consisTs oF a nuMeriCaL coefficieNt and LiteraL coeeficient, aNd zero is noT eveN a monomiaL, so iT is noT a poLynmiaL.