Question

What is the factored form of the quadratic equation y=x2+4x-12?

PLEASE HELP ME!!!

Answer 1

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

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).

Answer 2

(x + 6)(x - 2)

Explanation:

The given quadratic equation is
`$ y = x^2 + 4x - 12 $`.

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

Here the roots are
`$ - 6 $` and
`$ 2 $`.

The factored form would simply be:
`$ (x + 6) (x - 2) = 0 $`.

Thus the answer.