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If A = 8x+x2+12, B = x2+2x-24 and C = x2+15x+54. Then which of the following is true? I. Their LCM is (x+6)(x-4)(x+2)(x+9). II. Their HCF is (x+6)(x-2).

If A = 8x+x2+12, B = x2+2x-24 and C = x2+15x+54. Then which of the following is true? I. Their LCM is (x+6)(x-4)(x+2)(x+9). II. Their HCF is (x+6)(x-2). Correct Answer Only I

A = 8x+x2+12 = (x+2)(x+6), B = x2+2x-24 = (x-4)(x+6) and C = x2+15x+54 = (x+6)(x+9). HCF = (x+6) and LCM = (x+6)(x-4)(x+2)(x+9). Hence, only statement I is true.

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