Question

Is it possible to factor `y=2x^2+2x-2`? If so, what are the factors?

Answer 1

Yes. See below

Explanation:

`2x^2+2x-2=2(x^2+x-1)=`

Appliying cuadratic formula

`x=(-1+-sqrt(1+4))/2=(-1+-sqrt5)/2 ddots`

Both roots are real numbers and we can write

`2x^2+2x-2=2(x^2+x-1)=`

`=2(x-(-1-sqrt5)/2)(x-(-1+sqrt5)/2)`