Question

find the hcf and lcm of f(x) =2(x²-4) , g(x) = 4(x²-4x+4) and h(x)= 6 ( x-2) (x-3)
pliss i need the answer​

Answer 1

Step-by-step explanation:

Solution :

Factorise all the polynomials

3x² − 6x = 3x(x − 2)

x² − 4x + 4 = (x − 2)(x − 2)

x² + x − 6 = (x − 2)(x + 3)

The least common multiple for the first two polynomials is 3x(x − 2)²

The LCM of three polynomials is LCM of 3x(x − 2)² and (x − 2)(x − 3)

=> LCM = 3x(x − 2²)(x + 3)

The highest common factor of first two polynomials is (x − 2)

The HCF of all the three polynomials is HCF of (x − 2) and (x − 2)(x − 3)

=> HCF = (x − 2)