Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___
If there are the two roots, we have that (x+1)(x-1).
This, distributing in, we have
\((x + 1) ( x -1) = x^2 + 0x - 1 \)
Thus, the answer is x^2 - 1.
Thanks! :)