Simplifying
24x2 + 68x + 48

Reorder the terms:
48 + 68x + 24x2

Factor out the Greatest Common Factor (GCF), '4'.
4(12 + 17x + 6x2)

Factor a trinomial.
4((3 + 2x)(4 + 3x))

Final result:
4(3 + 2x)(4 + 3x)