Question

50 point HELP ASAP Question: A rectangle has sides measuring (3x + 8) units and (6x + 5) units.

Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit.



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

see below

Explanation:

(3x + 8) units by (6x + 5) units.

A = l*w

= (3x+8)(6x+5)

Distribute

3x*(6x+5) + 8(6x+5)

18x^2 +15x + 48x +40

Combine terms

18x^2+63x+40 units^2

The degree is 2 ( the highest power of x)

This is a trinomial ( it has 3 terms)

Multiplication is closed for polynomial multiplication

We started with polynomials and we ended up with a polynomial.