Find the LCM.
-$x^{2}+4 x+3,-6 x-6$
A) $-6(x-3)(x-1)$
B) $-6(x-3)(x+1)$
C) $-6(x+3)(x+1)$
D) $-6(x+3)(x-1)$

Question

Quizplus · Accepted Answer

The LCM of two algebraic expressions is the smallest expression that both original expressions can divide into. Factorizing both expressions: $x^{2}+4x+3 = (x+3)(x+1)$ and $-6x-6 = -6(x+1)$. The LCM must include all factors present in either expression, so it includes $(x+3)$, $(x+1)$, and $-6$, making the correct answer $-6(x+3)(x+1)$.

Find the LCM x2+4x+3,−6x−6x^{2}+4 x+3,-6 x-6x2+4x+3,−6x−6 A) −6(x−3)(x−1)-6(x-3)(x-1)−6(x−3)(x−1) B) −6(x−3)(x+1)-6(x-3)(x+1)−6(x−3)(x+1) C) −6(x+3)(x+1)-6(x+3)(x+1)−6(x+3)(x+1) D) −6(x+3)(x−1)-6(x+3)(x-1)−6(x+3)(x−1)

Find the LCM $x^{2}+4 x+3,-6 x-6$ A) $-6(x-3)(x-1)$ B) $-6(x-3)(x+1)$ C) $-6(x+3)(x+1)$ D) $-6(x+3)(x-1)$