Answer:
(x-3)(x-7)
Step-by-step explanation:
[tex]f(x) = x {}^{2} - 11x + 24 \\ g(x) = x - 3 \\ f (x) - g(x) = x ^{2} - 11x + 24 + x - 3 \\ collect \: like \: terms \\ f - g(x) = x ^{2} - 11x + x + 24 - 3 \\ f - g(x) =x ^{2} - 10x + 21 \\ f - g(x) =x ^{2} - 3x - 7x + 21 \\ f - g(x) =x(x - 3) - 7(x - 3) \\ f - g(x) =(x - 3)(x - 7)[/tex]
