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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?

Respuesta :

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.

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Answer:

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.