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4) $n^2 + 4n - 12$

Question

  1. $n^2 + 4n - 12$

Explanation:

Step1: Find two numbers

We need two numbers that multiply to -12 and add up to 4. The numbers are 6 and -2 since \(6\times(-2)= - 12\) and \(6+( - 2)=4\).

Step2: Factor the quadratic

Using the numbers from Step 1, we can factor \(n^{2}+4n - 12\) as \((n + 6)(n-2)\).

Answer:

\((n + 6)(n - 2)\)