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A rectangle has sides measuring (6x + 4) units and (2x + 11) units.

Part A: What is the expression that represents the area of the rectangle? 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)

Respuesta :

The area of the rectangle is 12x² + 74x + 44

The degree of the polynomial is 2nd degree and the classification of the polynomial is trinomial

The closure property of the polynomial is demonstrated as follows:

(6x + 4) × (2x + 11) = (2x + 11 )(6x + 4)

The sides of the rectangle are (6x + 4) and (2x + 11). Therefore,

Area of a rectangle:

The area of the rectangle is the space occupied by the rectangle. Therefore,

  • area = lw

where

l = length

w = width

Therefore,

a.

area = (6x + 4)(2x + 11)

area = 12x² + 66x + 8x + 44

area = 12x² + 74x + 44

b.

The degree of the polynomial is 2nd degree and the classification of the polynomial is trinomial(it has three terms)

c.

When something is closed, the output will be the same type of object as the inputs. Therefore, to demonstrate the closure property:

(6x + 4) × (2x + 11) = (2x + 11 )(6x + 4)

learn more on rectangles here; https://brainly.com/question/24821435

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