Identify Numbers: Find two numbers that multiply to -12 (the constant term) and add to -4 (the coefficient of the x term).Determine Correct Numbers: The numbers that work are -6 and +2 because -6 * 2 = -12 and -6 + 2 = -4.Write Factored Form: Write the factored form of the quadratic equation using the numbers found.The factored form is (x - 6)(x + 2).

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$x^{2}-4 x-12=0$

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x^{2}-4 x-12=0

Identify Numbers: Find two numbers that multiply to $-12$ (the constant term) and add to $-4$ (the coefficient of the $x$ term).
Determine Correct Numbers: The numbers that work are $-6$ and $+2$ because $-6 \times 2 = -12$ and $-6 + 2 = -4$ .
Write Factored Form: Write the factored form of the quadratic equation using the numbers found.
Write Factored Form: Write the factored form of the quadratic equation using the numbers found.The factored form is $(x - 6)(x + 2)$ .