Question

what do the properties of polynomial addition mean? complete each statement.
the closure property states that the sum of two polynomials is a
the commutative property states that changing the order of two or more terms
the value of the sum.
the associative property states that the way in which two or more terms are grouped in a sum
the value.

Explanation:

1. Closure property for polynomial addition: When adding two polynomials, combining like terms results in another polynomial, so the sum is a polynomial.
2. Commutative property for addition: Rearranging the order of terms being added does not change the final sum value.
3. Associative property for addition: Grouping terms differently when adding does not alter the total sum value.

Answer:

1. The closure property states that the sum of two polynomials is a polynomial.
2. The commutative property states that changing the order of two or more terms does not change the value of the sum.
3. The associative property states that the way in which two or more terms are grouped in a sum does not change the value.