Q. 1 A5.0( 1 Vote )

Find the LCM of e

Answer :

Given: –


Polynomials x2 – 5x + 6, x2 + 4x – 12


And GCD[Greatest Common Divisor] = (x – 2)


Formula used: –


The product of 2 polynomial is equal to product of their LCM


and GCD.


Product of 2 polynomial = LCM × GCD


Product of 2 polynomial = (x2 – 5x + 6) × (x2 + 4x – 12)


= ( x2 – 2x – 3x + 6)(x2 + 6x – 2x – 12)


= (x(x – 2) – 3(x – 2))(x(x + 6) – 2(x + 6))


= (x – 3)(x – 2)(x – 2)(x + 6)


Product of 2 polynomial = LCM × GCD


LCM =


LCM =


LCM = (x – 3)(x – 2)(x + 6)


Conclusion: –


The LCM of polynomial [x2 – 5x + 6, x2 + 4x – 12] is


(x – 3)(x – 2)(x + 6)


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