Answer:
see explanation
Step-by-step explanation:
given the solutions say x = a, x = b then
(x - a) and (x - b) are the factors of the quadratic and the quadratic is the product of the factors, that is
y = k(x - a)(x - b) → where k is a multiplier
(1) for x = 4 and x = - 5
(x - 4) and (x + 5) are the factors
let k = 1, then
y = (x - 4)(x + 5) = x² + x - 20 ← quadratic
(2) for x = 3 and x = 8
(x - 3) and (x - 8) are the factors
let k = 1, then
y = (x - 3)(x - 8) = x² - 11x + 24 ← quadratic
