Find the zero f(x)=2x² - 16x + 24/x² + 2x - 24

Factor both the top and bottom.

(2(x-6)(x-2))/((x+6)(x-4))

To find zeros, the numerator must be 0. The denominator cannot be 0 because anything divided by 0 is infinity.

(x-6)=0
x=6

(x-2)=0
x=2

Final x=2, x=6