Respuesta :

Answer:

(x + 6)(x - 2)

Step-by-step explanation:

The given quadratic equation is [tex]$ y = x^2 + 4x - 12 $[/tex].

A quadratic equation can be factored in the form [tex]$ (x - a) (x - b) $[/tex] where [tex]$ -a $[/tex] and [tex]$ -b $[/tex] will form the roots of the equation

Here the roots are [tex]$ - 6 $[/tex] and [tex]$ 2 $[/tex].

The factored form would simply be: [tex]$ (x + 6) (x - 2) = 0 $[/tex].

Thus the answer.

Answer:

y = (x + 6)(x - 2).

Step-by-step explanation:

y = x^2 + 4x - 12

We need 2 numbers whose product is -12 and whose sum = +4.

These are + 6 and -2 so the factors are:

(x + 6)(x - 2).

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