(2m + 5)(2m + 3) is the fully factored form of the trinomial.
4m^2 + 16m + 15
With the way the trinomial is, we cannot factor it in it's current state.
We must check to see if splitting the middle term is possible.
List factors of 60
1 * 60
-1 * -60
2 * 30
-2 * -30
3 * 20
-3 * -20
4 * 15
-4 * -15
5 * 12
-5 * -12
6 * 10 (this digits satisfy the criteria for splitting the middle term.)
Split the middle term.
4m^2 + 6m + 10m + 15
Group the polynomials in terms of 2.
(4m^2 + 6m) + (10m + 15)
Factor each binomial.
2m(2m + 3) + 5(2m + 3)
Rearrange the binomials.
(2m + 5)(2m + 3)
