Q. 1 B5.0( 1 Vote )

Find the LCM of e

Answer :

Given: –


Polynomials x4 + 3 x3 + 6 x2 + 5x + 3 , x4 + 2 x2 + x + 2


And GCD[Greatest Common Divisor] = (x2 + x + 1)


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 = (x4 + 3x3 + 6x2 + 5x + 3) × (x4 + 2x2 + x + 2)


Product of 2 polynomial = LCM × GCD


LCM =


LCM =


LCM =


LCM = (x2 + 2x + 3)(x4 + 2x2 + x + 2)


Conclusion: –


The LCM of polynomial [x4 + 3 x3 + 6 x2 + 5x + 3, x4 + 2 x2 + x + 2] is


(x2 + 2x + 3)(x4 + 2x2 + x + 2)


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