In a game, 9 players sit equally spaced around a circular table with one ball. The player with the ball, the passer, rolls the ball along the tabletop to another player, the receiver. The ball is passed in accordance with following rules: The first passer passes the ball to the player seated immediately to his/her left; the next passer passes the ball to the player seated two places to his/her left; the third passer passes the ball to the player seated three places to his/her left; and so on. On which pass will the first passer become the receiver for the first time?

1) is right

step-by-step explanation:

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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.