Question

Identify the factors of x2 − 4x − 12. (1 point)

Answer 1

X² - 4x - 12 = 
x² + 2x - 6x - 12 =
x(x + 2) - 6(x + 2) = 
(x + 2)(x - 6)

Answer 2

Answer:

D. $(x-6)(x+2)$

Step-by-step explanation:

We have been given a polynomial $x^2-4x-12$. We are asked to find the factors of our given polynomial.

We will use splitting the middle term format of factoring quadratic polynomial.

We need two numbers, whose product is $-12$ and whose sum is $-4$. Such two numbers are  $-6\text{ and }2$.

$x^2-6x+2x-12$

$(x^2-6x)+(2x-12)$

Factor out GCF of each group:

$x(x-6)+2(x-6)$

$(x-6)(x+2)$

Therefore, factors of our given expression are $(x-6)(x+2)$ and option D is the correct choice.