(06.02 MC) The lengths of two sides of a triangle are shown. Side 1: 8×2 − 5x − 2 Side 2: 7x − x2 + 3 The perimeter of the triangle is 4×3 − 3×2 + 2x − 6. Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points) Part B: What is the length of the third side of the triangle? Show your work. (4 points) Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)

(07.05 LC) The polynomial f(x) is written in factored form: f(x) = (x − 3)(x + 8)(x − 11) What are the zeros of the polynomial function?

(07.01, 07.02 MC) Factor the greatest common factor: 12a3b + 8a2b2 − 20ab3.

The semistrong form of the efficient market hypothesis maintains that: 

(06.04 MC) The function f(x) = 40x + 8 represents the amount of money Makayla earns reupholstering furniture. The function g(x) = 3x − 4 represents her upfront costs. Find (f – g)(4) to determine how much profit she will make from four pieces of furniture.

(06.04 LC) Choose the correct simplification of 9×2(4x + 2×2 − 1).

(07.01, 07.02 MC) Factor the greatest common factor: 9a4b3 + 24a3b2 − 15a2b.

(07.04 LC) A binomial has been partially factored, as shown below: x2 − 36 = (x + 6)(_____) Which of the following binomials represents the missing factor?

(06.05 LC) Mary paints wooden signs and sells them at craft fairs. The function s(t) approximates how many signs Mary paints per hour. The function w(h) represents how many hours per week Mary spends painting the wooden signs. What are the units of measurement for the composite function s(w(h))?

(05.07 HC) A student is assessing the correlation between the number of workers in a factory and the number of units produced daily. The table shows the data: Number of workers(x) 0 10 20 30 40 50 60 70 80 90 Number of units(y) 2 52 102 152 202 252 302 352 402 452 Part A: Is there any correlation between the number of workers in a factory and the number of units produced daily? Justify your answer. (4 points) Part B: Write a function that best fits the data. (3 points) Part C: What does the slope and y-intercept of the plot indicate? (3 points)