Give the equivalent numerator if the denominator is (x - 2)(x - 1)(x - 6).

2/(x-2)

The required numerator is 2x²-14x+12 OR 2(x-1)(x-6)

Step-by-step explanation:

Considering the equivalent of the ratio of numerator and denominator to be 2/(x-2), we have to find numerator for given denominator.

Let numerator is A:

then:

cancelling (x-2) from both sides:

Multiplying numerator of A on left side:

Hence,

The required numerator is 2x²-14x+12 OR 2(x-1)(x-6)