Question

To solve the equation t² - t = 12 by factoring, you would use

Answer 1

t^2-t=12
t^2-t-12=0
(t-4)(t+3)=0

t=4, -3

Answer 2

The given quadratic equation
`t^2-t=12` can be factorized as
`(t+3)(t-4)` using middle term splitting method.

Explanation:

Consider the given quadratic equation
`t^2-t=12`

It can be written as
`t^2-t-12=0`

We can factorize it using middle term splitting method,

`t^2-t-12=0`

-t can be written as (-4t+3t ) such that their product is -12 then,

`\Rightarrow t^2-4t+3t-12=0`

`\Rightarrow t(t-4)+3(t-4)=0`

`\Rightarrow (t+3)(t-4)=0`

Thus, the given quadratic equation
`t^2-t=12` can be factorized as
`(t+3)(t-4)` using middle term splitting method.