Answer:
A
Step-by-step explanation:
given the roots of a polynomial, say x = a, x = b and x = c, then
(x - a), (x - b) and (x - c) are it's factors and the polynomial is the product of it's factors.
here the roots are x = 4, x = - 5 and x = 7, hence
(x - 4), (x + 5) and (x - 7) are the factors
f(x) = a(x - 4)(x + 5)(x - 7) ← a is a multiplier
let a = 1 and expand the factors
f(x) = (x² + x - 20)(x - 7)
= x³ + x² - 20x - 7x² - 7x + 140
= x³ - 6x² - 27x + 140 → A
