We can find the factors of the quadratic function using some methods. We can try the following:
We need to find two numbers that if we multiply them, we obtain -8, and if we sum them, we obtain -2. These two numbers are 2 and -4 since we have:
2 * -4 = -8
And
2 - 4 = -2
Then, since we need these two numbers in factored form, we have that the quadratic function is the same as (x + 2)(x - 4).
Therefore, the factored form for the quadratic function is (x + 2)(x - 4) ( option D).
We can also find these values using the quadratic formula, and after finding the roots for the equation, we only need to change the signs of the obtained roots to have the factors of the quadratic expression.
