What is the LCM of $(x^{2} + 5 x + 6)$ and $(x^{2} + 7 x + 10)$

(x + 2)

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(x + 3)

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(x + 2)(x + 3)

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(x + 2)(x + 3)(x + 5)

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Solution

The correct option is D
(x + 2)(x + 3)(x + 5)

$(x^{2} + 5 x + 6) = (x + 2) (x + 3)$

$(x^{2} + 7 x + 10) = (x + 2) (x + 5)$

The LCM of $(x^{2} + 5 x + 6) a n d (x^{2} + 7 x + 10) i s (x + 2) (x + 3) (x + 5)$

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