Question

Which pair of terms has a HCF of 5x ?

Answer 1

Answer:

We know that HCF is the highest common factor.

Factorise 5x−10 as follows:

5x−10=5(x−2)

Now, factorise 5x

2

−20 as follows:

5x

2

−20=5(x

2

−4)=5(x−2)(x+2) (using identity a

2

−b

2

=(a+b)(a−b))

Since the common factor between the polynomials 5x−10 and 5x

2

−20 is 5(x−2).

Hence, the HCF is 5(x−2).