Question

Given that f(x) = x² − 8x + 12 and g(x) = x − 2, find (ƒ – g)(x) and express

the result as a polynomial in simplest form.

Answer 1

(f - g)(x) = f(x) - g(x) = (x² - 8x + 12) - (x - 2) = x² - 8x + 12 - x + 2 = x² - 9x + 14. So, (f - g)(x) = x² - 9x + 14.