Answer: f(x) = x² - x - 30
Step-by-step explanation:
Here's a really simple way.
Quadratic equations are the product of two first order equations such as
f(x) = (x + A)(x + B)
intercepts mean the function result is zero, which means that either
(x + A) = 0 or (x + B) = 0
if x + A = 0 then x = - A
if x + B = 0 then x = -B
So all we have to do is to negate the numbers and add x to make the factor
Long story short, this example looks like this
(x - 6)(x + 5) = x² - x - 30
