Question

How do you factor `6t^2+26t+24`?

Answer 1

`6t^2+26t+24=2(3t+4)(t+3)`

Explanation:

First we can factoring with 2.
[0]`6t^2+26t+24=2(3t^2+13t+12)`
Then you can say that `13t` is `9t+4`, and you can factoring again.
[1]`6t^2+26t+24=2(3t^2+9t+4t+12)`
[2]`6t^2+26t+24=2(3t*(t+3)+4(t+3))`
[3]`6t^2+26t+24=2(3t+4)(t+3)`
You can do it faster if you know how to do an euclidiean division of a polynomial :)