Question

Leonora is factoring a trinomial. The factors of the trinomial are shown on the model. Which trinomial did she factor? x2 + 4x – 12 x2 + 2x – 6 x2 – 8x – 6 x2 – 4x – 12

Answer 1

The correct answer is x2 – 4x – 12

Answer 2

Answer:

x² – 4x – 12

Step-by-step explanation:

We can see in the vertical edge of the model that one factor is (x+2).  In the horizontal edge of the model, the other factor is (x-6).

Multiplying the two factors, the trinomial is

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

Combining like terms, we have

x²-4x-12