Question

Question #2f265

Answer 1

Not sure if you are saying that 2 and -6 are the roots, but if so, the equation is

`x^2+4x-12=0`

Explanation:

If 2 and -6 are the roots, then they must be the values of x that make the equation equal zero. This means we can write the factored form of the equation as

`(x-2)(x+6)=0`

(You can confirm that either `x=2` or `x=-6` would cause this to become zero.)

Now , use the FOIL method to multiply the binomials

`(x)(x) + (x)(6) + (x)(-2) + (-2)(6) = 0`

`x^2 +6x -2x-12=0`

`x^2+4x-12=0`

That is your equation. It includes `a=1`, `b=4` and `c=-12`