Question

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) @ganeshie8

Answer 1

@SurpriseBreeze

Answer 2

@amoodarya

Answer 3

The "Standard Form" for writing down a polynomial is to put the terms with the highest degree first.

For example, the polynomial \(\large f(x) = x^5+2x^3-x^2+2x+1\) is in standard form because the highest degree terms are kept first.

Answer 4

that should do for part A

Answer 5

and part B?

Answer 6

When adding/subtracting polynomials, the variables and their exponents do not change. Only their coefficients will possibly change. This guarantees that the sum/difference has variables and exponents which are already classified as belonging to polynomials. So polynomials are closed under addition/subtraction.

http://mathbitsnotebook.com/Algebra1/Polynomials/POpolys.html

Answer 7

THANK YOUU!! CAN YOU HELP me with 3 more questions?