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)

Given: Side of the Square = ( 3x - 6 ) units

Part A).

Area of the Square = Side × Side = ( 3x - 6 )( 3x - 6 ) = ( 3x - 6 )²

                                = ( 3x )² + 6² - 2 × 3x × 6

                                = 9x² + 36 - 36x

Part B).

Degree of a polynomial is the height power of the polynomial.

Degree of the 9x² + 36 - 36x is 2.

Since Polynomial representing Area of the square has 3 terms and degree = 2.

So the Polynomial is a Trinomial polynomial and Quadratic polynomial.

Part C).

Closure Property of polynomial is always under multiplication means when two polynomials are multiplies then the resulting product is also a polynomial.

Here, Also two linear polynomial are multiplied and we get a quadratic polynomial.

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

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step-by-step explanation:

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