Answer:
C. 2(k +2)(k +5)(k +1)
Step-by-step explanation:
The LCM will be the product of unique factors.
[tex](k^2 + 3k + 2)=(k+1)(k+2)\\(2k^2 + 14k + 20)=2(k+2)(k+5)[/tex]
The unique factors are 2, (k+1), (k+2), (k+5), so the LCM is their product:
2(k+1)(k+2)(k+5) . . . . matches choice C
