The base of a triangle measures (8x + 2) units and the height measures (4x − 5) 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)

Part A: We know that the equation for finding the area of a triangle is ; we also know that  and , so the only thing we need to do is replacing those values into our Area equation and solve for x:

Now the only thing left is factor the quadratic polynomial:

W can conclude that the area of our triangle is

Part B: Our polynomial has three terms, so is a trinomial; also, our polynoal only has one variable, , and the largest exponent of that variable is 2; therefore is a degree 2 polynomial. In summary, we have a trinomial of degree 2. 

Part C: Part A demonstrate the closure property of polynomials because after multiplying tow polynomials we obtained another polynomial.

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step-by-step explanation:

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d