Answer:
x² - x - 2
Step-by-step explanation:
Since the curve cuts the x-axis at x = -1 and 2. The factors will be x+1 and x-2
Taking the product of the factors
f(x) = (x+1)(x-2)
f(x) = x² - 2x + x - 2
f(x) = x² - x - 2
Hence the required function is x² - x - 2
