Factor and simplify: f(x) = x^2 + 10x − 119/x^2 − 9x + 14

Answer 1

You need to group things properly with parentheses. I assume you meant to say

f(x) = (x² + 10x - 119) / (x² - 9x + 14)

x² + 10x - 119 = (x + 17)(x - 7)

x² - 9x + 14 = (x - 2)(x - 7)

f(x) = (x + 17)(x - 7) / [(x - 2)(x - 7)] = (x + 17) / (x - 2), if x - 7 ≠ 0