Question

How do you write `y= -7x^2+14` in factored form?

Answer 1

`y=-7(x+sqrt2)(x-sqrt2)`

Explanation:

First, you can factor out -7.
`y=-7x^2+14`
`y=-7(x^2-2)`

You will notice that `(x^2-2)` is a special product (difference of two squares).
`y=-7(x^2-2)`
`y=-7(x+sqrt2)(x-sqrt2)`

After that, you won't be able to factor it any further. :)