3 years ago

Find the LCM of k^2 + 3k + 2 and 2k^2 + 14k + 20.

Mathematics

1 answer:

Airida [17]3 years ago

3 0

Answer:

C. 2(k +2)(k +5)(k +1)

Step-by-step explanation:

The LCM will be the product of unique factors.

$(k^2 + 3k + 2)=(k+1)(k+2)\\(2k^2 + 14k + 20)=2(k+2)(k+5)$

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

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