Q: How a like polynomial and non-polynomial?

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No. A polynomial can have as many degrees as you like.

this term 2x is not a polynomial. this term is a monomial. since only one term was listed it can not be a polynomial. A polynomial is like four or more terms. a trinomial is three terms and a binomial is two terms.

It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).

As many as you like. A polynomial in 1 variable, and of degree n, can have n+1 terms where n is any positive integer.

Polynomial vs non polynomial time complexity

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Both - a polynomial expression, if you like.

No. A polynomial can have as many degrees as you like.

zero polynomial which is 0 and only 0 = 0.

That varies from polynomial to polynomial. Whatever the highest exponent is is called the "degree", so a quadratic like x2 + 2x + 8 has degree 2.

this term 2x is not a polynomial. this term is a monomial. since only one term was listed it can not be a polynomial. A polynomial is like four or more terms. a trinomial is three terms and a binomial is two terms.

The Degree (for a polynomial with one variable, like x) is the largest exponent of that variable.

As many as you like. The highest power of the variable in question (usually x) defines the degree of the polynomial. If the degree is n, the polynomial can have n+1 terms. (If there are more then the polynomial can be reduced.) But there is NO LIMIT to the value of n.

It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).

You can evaluate a polynomial, you can factorise a polynomial, you can solve a polynomial equation. But a polynomial is not a specific question so it cannot be answered.

No. A matrix polynomial is an algebraic expression in which the variable is a matrix. A polynomial matrix is a matrix in which each element is a polynomial.

As many as you like. A polynomial in 1 variable, and of degree n, can have n+1 terms where n is any positive integer.

Polynomial vs non polynomial time complexity