Find the LCM.
-$x^{2}+10 x+24, x^{2}+8 x+12$
A) $(x+4)(x+6)$
B) $(x-4)(x-6)(x+2)$
C) $(x+4)(x+6)(x+2)$
D) $(x+6)(x+2)$

Name: Find the LCM. -$x^{2}+10 x+24, x^{2}+8 x+12$ A) $(x+4)(x+6)$ B) $(x-4)(x-6)(x+2)$ C) $(x+4)(x+6)(x+2)$ D) $(x+6)(x+2)$
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Quizplus · Accepted Answer

The LCM of two polynomials is given by their product divided by their GCD. Factoring both polynomials, we get $x^{2}+10x+24 = (x+4)(x+6)$ and $x^{2}+8x+12 = (x+2)(x+6)$. The GCD is $(x+6)$, so the LCM is $(x+4)(x+6)(x+2)$, which is option C.

Find the LCM x2+10x+24,x2+8x+12x^{2}+10 x+24, x^{2}+8 x+12x2+10x+24,x2+8x+12 A) (x+4)(x+6)(x+4)(x+6)(x+4)(x+6) B) (x−4)(x−6)(x+2)(x-4)(x-6)(x+2)(x−4)(x−6)(x+2) C) (x+4)(x+6)(x+2)(x+4)(x+6)(x+2)(x+4)(x+6)(x+2) D) (x+6)(x+2)(x+6)(x+2)(x+6)(x+2)

Find the LCM $x^{2}+10 x+24, x^{2}+8 x+12$ A) $(x+4)(x+6)$ B) $(x-4)(x-6)(x+2)$ C) $(x+4)(x+6)(x+2)$ D) $(x+6)(x+2)$