A rectangle has sides measuring (2x + 7) units and (5x + 9) units.

Part A: What is the expression that represents the area of the rectangle? Show your work. (4 points)

Part B: What are the degree and classification of the expression obtained in Part A? (3 points)

Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

Question

A rectangle has sides measuring (2x + 7) units and (5x + 9) units.

Part A: What is the expression that represents the area of the rectangle? Show your work. (4 points)

Part B: What are the degree and classification of the expression obtained in Part A? (3 points)

Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

mxddi3 · Answer

well for part a, do you have answer choices or do you have to write your own expression?

Mercury · Answer

old question but will respond so this can be closed

part A) area of a rectangle = width * length, and you're given the width and length as (2x + 7) units and (5x + 9), so multiply these together. they're most likely expecting a trinomial, so use foil to expand your product

part B) degree = what is the highest exponent; additionally, how many terms are there? recall that terms are separated by + and - signs

part C) polynomials are considered closed under multiplication if two or more polynomials multiply to get another polynomial. so simply state that (2x + 7), (5x + 9), and the result from part A) are also polynomials (positive integer exponents only, no x in the exponent, etc.)