Question

HELP PLEASE ASAP!!!!!!!!!!!!!!

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. (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

A. Since the area of a triangle is equal to A = 0.5bh, we just plug in numbers given to us:

`A = (1)/(2)bh= (1)/(2)(2x+7)(4x+6)= (1)/(2)(8x^2+40x+42)=4x^2+20x+21`

So, that's your answer.

B. The answer is a 2nd-degree trinomial because it has three terms and it's highest exponent is 2.

C. Polynomials are closed under multiplication because if you multiply two polynomials, you get another polynomial (except if you multiply by the inverse which is excluded anyways).