A rectangle with an area of x2 - 4x – 12 square units is represented by the model.
What side lengths should be used to model the
rectangle?
(x + 2) and (x - 6)
(x + 6) and (x - 2)
(x + 2) and (x – 10)
(x + 10) and (x - 2)
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Hello there! :)

First choice, (x + 2) and (x - 6).

Step-by-step explanation:

To solve for the dimensions, recall that the formula for the volume of a rectangle is:

A = l × w

Simply factor x² -4 - 12. Find two numbers that add up to -4 and multiply into -12.

2, -6 satisfy these conditions. Use these numbers to write this equation in factored form:

(x + 2) (x - 6). Thus, the first option is the correct answer.

(x-6) (x+2)

Step-by-step explanation:

x^2 - 4x – 12

Factor

What two numbers multiply to -12 and add to -4

-6*2 = -12

-6+2 = -4

(x-6) (x+2)