PLEASE HELP ME
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)

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cgdeland cgdeland

23-09-2017
Mathematics

contestada

PLEASE HELP ME
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)

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alphabetsam alphabetsam · Answer 1 · 2017-09-23T23:14:57+02:00

For part A, they're telling you exactly what to do. You have the base length given as (2x+7) and the height given as (4x+6). Then using the given formula for area of a triangle:
[tex]A=\frac{1}{2}bh=\frac{1}{2}(2x+7)(4x+6)[/tex]

For Part B, you will need to multiply out the two binomials in the equation for the area. The degree of the polynomial is the largest power on x, and the classification of the polynomial depends on this degree. A polynomial with degree 1 is a monomial, degree 2 is a binomial, and degree 3 is a trinomial. For Part C: I am not sure how rigorously you have gotten into the closure property for polynomials. What I believe they want you to say is that multiplying two polynomials will always produce a polynomial.