Chapter 5 Polynomials and Polynomial Functions - 5.6 Find Rational Zeroes - 5.6 Exercises - Problem Solving - Page 376: 50a

$t^4-22t^3+169t^2-327t-1032=0$

Given: $F(t)=12t^4-264t^3+2028t^2-3924t+43916$ The number of travelers needs to be equal to $56300$: $12t^4-264t^3+2028t^2-3924t+43916=56300\\ 12t^4-264t^3+2028t^2-3924t-12384=0\\ t^4-22t^3+169t^2-327t-1032=0$ A polynomial equation can be: $t^4-22t^3+169t^2-327t-1032=0$