Question

Find the roots of each equation by factoring. x^2–4=0

Answer 1

The polynomial can be factored as

`x^2-4=(x+2)(x-2)`

In fact, any polynomial of the form x^2-b^2 can be factored as

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

Back to our polynomial, we see that its zeros are

`x=2`

and

`x=-2`