Fill in the blanks to make a quadratic whose roots are 5 and -5.
x^2 + ___x + ____
(Monic) Quadratic with roots 5 and -5 can be factored as (x - 5)(x + 5) = 0. Expanding this, you get x^2 - 25 from difference of squares.
Thus, the first blank = 0, and the second blank = -25.