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
2 answers:
The correct answer is x2 – 4x – 12
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
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