Will give ! part a: create an example of a polynomial in standard form. how do you know it is in standard form? (5 points) part b: explain the closure property as it relates to polynomials. give an example. (5 points)

Part A:

 Let's assume a polynomial of the second degree.
 A second-degree polynomial in its standard form is written as:
 
 Where,
 a, b, c: are the polynomial coefficients. They are real numbers other than zero.
 This definition can be used for a polynomial of degree n.
 For example, the following polynomial is written in its standard form:
 

 Part B:

 By definition we have to:
 A set has closure under an operation if the performance of that operation on the members of the set always produces a member of the same set
 This property is related to polynomials since, for example, if we want to multiply polynomials, we obtain as a result a member of the same set. That is, another polynomial.
 Let's put the following polynomials:
 
 Multiplying we have:
 
 The result of multiplying two polynomials, is also a polynomial.