Answer:
The given quadratic equation [tex]t^2-t=12[/tex] can be factorized as [tex](t+3)(t-4)[/tex] using middle term splitting method.
Step-by-step explanation:
Consider the given quadratic equation [tex]t^2-t=12[/tex]
It can be written as [tex]t^2-t-12=0[/tex]
We can factorize it using middle term splitting method,
[tex]t^2-t-12=0[/tex]
-t can be written as (-4t+3t ) such that their product is -12 then,
[tex]\Rightarrow t^2-4t+3t-12=0[/tex]
[tex]\Rightarrow t(t-4)+3(t-4)=0[/tex]
[tex]\Rightarrow (t+3)(t-4)=0[/tex]
Thus, the given quadratic equation [tex]t^2-t=12[/tex] can be factorized as [tex](t+3)(t-4)[/tex] using middle term splitting method.
