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)

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Аноним Аноним · Answer 1 · 2019-03-12T10:59:49+01:00

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.

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windyyork windyyork · Answer 2 · 2019-08-14T10:10:12+02:00

Answer: A) [tex](3x-6)^2=9x^2-36x+36[/tex]

B) Degree - 2

Classification - Quadratic equation

C) Multiplication of two polynomials is always a polynomial.

Step-by-step explanation:

Since we have given that

Side of a square = (3x-6) units

We need to find the area of square.

As we know the formula for area of square:

Part A: Area of square is given by

[tex]Side^2=(3x-6)^2=9x^2-36x+36[/tex]

Part B : Degree of the expression obtained in the first part is 2.

Classification of the expression - Quadratic equation.

Part C: Multiplication of two polynomials is always a polynomial.