Answer:
The whole numbers are closed under addition, which guarantees that the new exponents will be whole numbers. Consequently, polynomials are closed under multiplication. Polynomials are NOT closed under division.
Step-by-step explanation:
Example
What's the degree of the following polynomials?
x2+x
The first monomial has a degree of 2 and the second monomial has a degree of 1. The highest degree is 2 which mean that the degree of the polynomial is 2.
x4+x2+x
4, 2 and 1 , the highest degree is 4 which mean that the degree of the polynomial is 4.
We can add and subtract polynomials. We just add or subtract the like terms to combine the two polynomials into one.