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)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Find the GCD of tTamil Nadu Board - Math

Find the other poTamil Nadu Board - Math

Find the GCD of tTamil Nadu Board - Math

Find the GCD of tTamil Nadu Board - Math

Find the greatestTamil Nadu Board - Math

Find the greatestTamil Nadu Board - Math

Find the other poTamil Nadu Board - Math

Find the LCM of eTamil Nadu Board - Math

Find the other poTamil Nadu Board - Math

Find the LCM of eTamil Nadu Board - Math