Question

Consider the graph of the quadratic function y = 3x2 – 3x – 6.


What are the solutions of the quadratic equation 0 = 3x2 − 3x − 6?

–1 and 2
–6 and –1
–1 and 1
–6 and 2

Answer 1

Divide both sides by 3: x^2 − x − 2 = 0, which factors as (x − 2)(x + 1) = 0.
So x = 2 or x = −1. (Answer: −1 and 2)