Answer:
Smaller t = -6
Larget t = 7
Step-by-step explanation:
Given the expression t^2 - t - 42
Factorize
t^2-t-42
t^2-7t+6t-42
= t(t-7)+6(t-7)
= (t-7)(t+6)
Equating the factors to zero
(t-7)(t+6) = 0
t-7 = 0 and t+6 = 0
t = 7 and t = -6
Smaller t = -6
Larget t = 7