Question

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.

Part B: What are the degree and classification of the expression obtained in Part A?

Part C: How does Part A demonstrate the closure property for polynomials?

Answer 1

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Explanation:

Hello!

A)

The area of a rectangle is L * W.

• Area = (6x + 4)(2x + 11)
• Area = 12x² + 8x + 66x + 44
• Area = 12x² + 74x + 44

B)

The degree of a polynomial is the value of the highest exponent. The degree of 12x² + 74x + 44 is 2, because 2 is the highest exponent.

C)

This demonstrates the closure property, as adding, subtracting, and or multiplying polynomials will give a polynomial.