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

Answer:

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

Step-by-step 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.