Q. 1 B5.0( 1 Vote )

# Find the LCM of e

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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