The side of a square measures (4x − 7) 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)

Part A. A square is a two-dimensional shape with 2 sets of equal, parallel sides. The area of a square is equal to the square of its side. So, if the side measures (4x-7) units, then the area would be (4x-7)^2.

Part B. Let's expand the binomial in part A first. That would be equal to 16x^2 - 56x +49. There are different classifications of equation. There are linear equations, quadratic equations and exponential equations. In this case, the equation is a quadratic equation because it possesses the standard formula of a quadratic equation which is equal to ax^2 + bx + c = 0. On the other hand, the degree of the equation is the highest power of the variable. Since the highest degree is 16x^2, then the degree is 2.

Part C. Closure Property of Multiplications is if a and b are real unique numbers, then their product is also a unique real number. Part A demonstrates this property in a way because 4x-7 is multiplied with itself. It is considered unique because you can have different values for x. They are still unique. Also, the expanded quadratic equation is also unique.

The answer is part a: use