Answer:
(x + 6)(2x + 9)
Step-by-step explanation:
[tex]2 {x}^{2} + 21x + 54 \\ = 2 {x}^{2} + 12x + 9x + 54 \\ = 2x(x + 6) + 9(x + 6) \\ = (x + 6)(2x + 9) \\ [/tex]