2/x-2

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

2x² - 10x + 12

2x² - 14x + 12

2x² - 14x - 10

Step-by-step explanation:

Numerator = 2 * (x-1) (x-6)

(x-1) (x-6) = x * (x-6) - 1 * (x-6)

=x*x - x*6 - 1*x - (-1) * 6

= x² - 6x - x + 6

= x² - 7x + 6

Numerator = 2 * (x-1) (x-6) = 2 * (x² - 7x + 6) = 2x² - 14x + 12