Factor the following trinomial: t^2 + 4t -2Show all work
If you look at the discriminant of the trinomial `t^2+4t-2` , we get `D=4^2-4(-2)=16+8=24` , which is not a perfect square. This means that we need to use completing the square to properly factor.
`=t^2+4t+4-4-2` add and subtract a number to make first 3 terms a perfect square
`=(t+2)^2-6` now treat as a difference of squares
`=(t+2-sqrt 6)(t+2+sqrt 6)`
The trinomial factors into `(t+2-sqrt 6)(t+2+sqrt 6)` .