a rectangle with an area of $x^{2}-4x - 12$ square units is represented by the model. what side lengths…

a rectangle with an area of $x^{2}-4x - 12$ 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)

a rectangle with an area of $x^{2}-4x - 12$ 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)

Answer

Explanation:

Step1: Factor the quadratic expression

We need to factor (x^{2}-4x - 12). We look for two numbers that multiply to (-12) and add up to (-4). The numbers are (2) and (-6) since (2\times(-6)=-12) and (2+( - 6)=-4). So, (x^{2}-4x - 12=(x + 2)(x-6)) using the formula (x^{2}+bx + c=(x + m)(x + n)) where (m\times n=c) and (m + n=b).

Answer:

A. ((x + 2)) and ((x-6))