Question

Find the H.C.F of : x +3x+2, 3x +x-2 and 2x³- x -3x.

Answer 1

Answer:

Correct option is

A

HCF = x−2 and LCM = 3x(x−2)2(x+3)

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)