Part a: create a fourth-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 polynomials. give an example. (5 points)

answer:

part a:

the four degree polynomial in standard form is   .

it is in standard form as here term are arranged by decreasing order of degree.

part b

the closure property with regards to polynomials states that polynomials are always closed under multiplication. the coefficients and the exponents can change unlike in addition and subtraction. the variables and coefficients also automatically fit in a polynomial.

example:

a*1 = a

if a = 3, then 3*1=3

this is an example of multiplication under polynomials.

4

step-by-step explanation:

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half