Question

The attendance for a team's basketball game can be approximated with the polynomial -5x^2+80x+285, where x is the number of wins the team had in the previous month. Factor the polynomial completely. Then estimate the attendance when the team won 4 games in the previous month.

Answer 1

Answer:

The attendance when the team won 4 games in the previous month is 525

Step-by-step explanation:

The attendance for a team's basketball game can be approximated with the polynomial : $-5x^2+80x+285$

x represents the number of wins the team had in the previous month.

Factor the polynomial :

$-5x^2+80x+285$

$-5(x^2-16x-57)$

$-5(x^2-19x+3x-57)$

$-5(x(x-19)+3(x-19))$

$-5(x+3)(x-19)$

Substitute the value of x = 4

The attendance when the team won 4 games in the previous month = -5(4+3)(4-19)=525

Hence The attendance when the team won 4 games in the previous month is 525