Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$

x^2 + ___ x + ___

A quadratic whose roots are 1 and -1 in factored form looks like this:

\((x-1)(x+1)\)

Expanding this out, and it becomes \(x^2+1\)

Now we fill in the blanks; the first blank is 0, since there is no "x" term. The second blank is 1.