That depends a lot on what you choose to include in "non-polynomial" - it can be just about anything. If you are referring to functions, what they have in common is anything that defines a function - mainly, the fact that for every value of an independent variable, a unique value is defined for the independent variable.
how alike the polynomial and non polynomial
"Non-polynomial" can mean just about anything... How alike it is with the polynomial depends on what specifically you choose to include.
Polynomials and nonpolynomial expressions both represent mathematical functions and can be used to model relationships between variables. They share the property of being defined over real or complex numbers, and both can appear in equations and inequalities. However, polynomials consist solely of non-negative integer exponents on their variables, while nonpolynomials may include variables raised to fractional or negative exponents, transcendental functions, or other forms that do not fit the polynomial criteria.
A "non-polynomial" can be just about anything; how alike they are depends what function (or non-function) you specifically have in mind.
A "non-polynomial" can be just about anything; how alike they are depends what function (or non-function) you specifically have in mind.
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.
"Non-polynomials" may be just about anything; how alike or different they are will depend on what specific restrictions you put on such functions, or whether you are even talking about functions.
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.
Polynomial vs non polynomial time complexity
No.
monomial