Find the LCM of e

Given: –

Polynomials 2x³ + 15x² + 2x – 35 , x³ + 8x² + 4x – 21

And GCD[Greatest Common Divisor] = (x + 7)

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 = (2x³ + 15x² + 2x – 35) × (x³ + 8x² + 4x – 21)

Product of 2 polynomial = LCM × GCD

LCM =

LCM =

LCM =

LCM = (2x² + x – 5)(x³ + 8x² + 4x – 21)

Conclusion: –

The LCM of given polynomials [2x³ + 15x² + 2x – 35 , x³ + 8x² + 4x – 21] is (2x² + x – 5)(x³ + 8x² + 4x – 21)