Which problem is modeled? A model divided into 10 parts. 6 are shaded. Minus. A model divided into 10 parts. 2 are shaded. Equals. A model divided into 10 parts. 4 are shaded.

0.6 – 0.2 = 0.4
0.06 – 0.02 = 0.04
0.6 – 0.4 = 0.2
0.06 – 0.04 = 0.02

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.

i belive the biggest ratio would be 18: correct me if im wrong

good luck on ur quiz test or homework. have a good day : )