Part A: Create a third-degree 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 addition of polynomials. Give an example. (5 points)

A.

B. For example: is a polynomial

Step-by-step explanation:

A.

Degree is the highest power of the exponent in the polynomial.

A third degree polynomial is of form . Its degree is 3.

This polynomial is in standard form as the terms are ordered from the biggest  (3) to the lowest exponent (0).

B.

A polynomial is an expression consisting of variables and coefficients combined together using arithmetic operations. Exponents of variables are non-negative integers.

Polynomials are closed under addition as sum of two polynomial is also a polynomial.

For example: take two polynomials as

Here,

is also a polynomial.