4k^2+12k+8
Look for a GCF first, then factor the remaining trinomial
The greatest common factor (GCF) of the trinomial 4k^2 + 12k + 8 is 4.
After factoring out the GCF, we are left with:
4(k^2 + 3k + 2)
Now, we need to factor the remaining trinomial k^2 + 3k + 2:
This can be factored into:
(k + 1)(k + 2)
Putting it all together, we have:
4(k + 1)(k + 2)