Question

The base of a triangle measures (2x+7) units and the height measures (4x+6) units.

Part A- what is the expression that represents the area of the triangle? Show your work to receive full credit Hint: Area=0.5bh

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

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

A. Area = 0.5*(2x+7)(4x+6)
= 0.5(8x^2 + 40x + 42)
= 4x^2 + 20x + 21

B. This expression is a trinomial of degree 2.

C Because when the 2 polynomials were multiplied the result was another polynomial.