Show all ! 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.