Question

HCF OF x^2-4,x^2+4x+4 and 2x^2+x-6

Answer 1

Answer:

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)

Answer 2

Answer:

that is your answer friend