The side of a square measures (3x − 6) units. Part A: What is the expression that represents the area of the square? Show your work to receive full credit. (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)

Accepted Solution

Answer:See below.Step-by-step explanation:A.    the area is the square of the length of a side.Area = (3x - 6)^2= 9x^2 - 18x - 18x + 36= 9x^2 - 36x + 36 (answer).B. The above answer is a polynomial (trinomial) , degree 2.C.  It demonstrates that  when we multiply 2 polynomials the answer is also a polynomial.