Michelle is changing her health care insurance and deciding between two different plans that charge the same
premium. Plan A has a $1,700 deductible with 20% coinsurance. Plan B has a $1,450 with 30% coinsurance. Michelle
had a total of $8,450 in medical bills last year. Under which plan would Michelle's share have been less? Support your
answer with mathematical calculations. Answer in complete sentence.

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1

4

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.