Hayek Corporation uses the FIFO method in its process costing. The following data concern the company's mixing department for the
month of August.
Materials Conversion
Work in process, August 1 $31,734 $30,320
Cost added to production in the mixing department during August $91,332 $81,864
Equivalent units of production for August 7,740 7,580
Required:
What are the cost per equivalent unit for materials and the cost per
equivalent for conversion for the mixing department for August using
the FIFO method?

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.