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)

To answer this item, we use the equation given for the calculation of the area of the triangle.

                                A = 0.5bh

Substituting the known expressions,

                      A = (0.5)(3x – 6)(2x + 4)

Part A: Use distribution method to simplify the expression for the calculation of area.

                         A = 0.5(6x^2 + 12x – 12x – 24)

                           A = 0.5(6x^2 – 24)

                          A = 3x^2 – 12

 Part B: The equation for area of has a degree of two because the highest exponent is 2.

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step-by-step explanation:

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