Part a: create a fifth-degree polynomial with four terms in standard form. how do you know it is in standard form? part b: explain the closure property as it relates to subtraction of polynomials. give an example.

These are two questions and two answers.part a: create a fifth-degree polynomial with four terms in standard form. how do you know it is in standard form? 1) a polynomial is a expression formed by several terms named momomials.2) each monomial is a term with numbers and letters raised to some integer positive power. for example: 7x²y³z⁵3) the degree of a momomial es the sum of the powers of the letters. for example, for the above writen momonial the degree is the sum of the powers of the letters x, y and z: 2 + 3 + 5 = 8.4) a polynomial is written in standard form if the terms are ordered from highest degree (at the left) to lowest degree (at the right).5) the degree of the polynomial is the highest degree of its monomials.6) then, following those rules you can write a fifth degree polynomial with four terms in standard form: 7x⁵ + 4x⁴ + 8x² + 216x. part b: explain the closure property as it relates to subtraction of polynomials. give an example. 1) the closure property of the subtraction of polynomials states that when (always, without exception) you subtract a polynomial from other polynomial the result is also a polynomial.2) this is an example: p(x) = 7x⁸ + 3x⁵ - 6x²q(x) = 9x⁸ + 5x⁷ - 3x²subtraction: p(x) - q(x) = 7x⁸ + 3x⁵ - 6x² - ( 9x⁸ + 5x⁷ - 3x²)use distributive property to eliminate the parenthesis and combine like terms: 7x⁸ + 3x⁵ - 6x² - 9x⁸ - 5x⁷ + 3x² = -2x⁸ - 5x⁷ + 3x⁵ - 3x²and, as stated by the closure property of subtraction, the result is a polynomial.