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

1 Answer
Sep 20, 2015

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. :)