Question

The base of a triangle measures (3x − 6) units and the height measures (2x + 4) units.

Part A: What is the expression that represents the area of the triangle? Show your work to receive full credit. (4 points)
Hint: Area = 0.5bh

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)

Answer 1

Part A: A = (0.5)(3x – 6)(2x + 4)

0.5(6x^2 - 24)

3x^2 - 12

Part B: Second degree binomial

Part C: Part A shows closure because when the polynomials are multiplied it equals a polynomial making it closure property.

Answer 2

Answer With Step-by-step explanation:

Part A:

.5[ (3x – 6) (2x + 4) ]

.5(6x^2 - 24)

3x^2 - 12

Part B:

Second Degree Binomial

Part C:

For Part A, a polynomial was multiplied by another polynomial. The resulting product was a polynomial. This is a demonstration of the closure property for multiplying polynomials.