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Multiple Choice Questions

The LCM of x3 ndash x2 ndash 2x and x3 x2 is ........

Quantitative Aptitude and Numerical Ability (DRDO) (Phase-i and II) Algebra

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The LCM of (x³ – x² – 2x) and (x³ + x²) is

x³ – x² – 2x

x² + x

x⁴ – x³ – 2x²

x – 2

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Explanation:

Let f(x) = (x³ – x² – 2x) = x(x² – x – 2)
= x{x² – 2x + x – 2}
= x{x(x – 2) + 1 (x – 2)} = x(x + 1)(x – 2)
And g(x) = x³ + x² = x²(x + 1) = x.x (x + 1)
∴ LCM of [f(x), g(x)] = x(x + 1) . x . (x – 2) = x² (x + 1)(x – 2)
= x²(x² – x – 2) = x⁴ – x³ – 2x².