T^3-9t^2+26t-24= можете расписать все

Question

T^3-9t^2+26t-24=
можете расписать все

Answer 1

T^3 - 9t^2 + 26t - 24 = 
= t^3 - 4t^2 - 5t^2 + 20t + 6t - 24 = 
= t^2 * (t - 4)  - 5t* (t - 4) + 6*(t - 4) = 
= (t - 4)*(t^2 - 5t + 6) = 
= (t - 4)(t^2 - 3t - 2t + 6) = 
= (t - 4)(t(t  - 3) - 2(t - 3)) = 
= (t - 4)(t - 3)(t - 2)