4k^2+12k+8

Question

Look for a GCF first, then factor the remaining trinomial

Answer 1

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)