Write and evaluate an expression to find the number of band members in each formation. there are 75 members in the band

4. One part of the formation has eight rows with five band members per row. The other part has four rows with seven members in each row.

5. One part of the formation has three rows with thirteen band members per row. The other part has six rows with six members in each row.

6. One part of the formation has seven rows with seven band members per row. Another part of the formation has four rows with four members in each row. The last part has three rows with three members in each row.​

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.