The given expression:
[tex]t^2-6t-7[/tex]To factorize:
[tex]\begin{gathered} t^2-6t-7=t^2-7t+t-7 \\ t^2-6t-7=t(t-7)+1(t-7) \\ t^2-6t-7=(t+1)(t-7) \end{gathered}[/tex]Factor of the given expression is (t + 1) (t - 7)
Answer:
[tex]t^2-6t-7=(t+1)(t-7)[/tex]