Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the roots of an equation are x = -1 ± i. the equation is x2 + + 2 = 0.

If those are your roots, in factorization form they are [x-(-1+i)][x-(-1-i)], which simplifies to (x+1-i)(x+1+i).  FOIL that out like you would anything else to get the mess that looks like this: .  Putting things in order makes it easier to deal with.  .  Canceling out what we can, gives us . .  That simplifies to , which of course gives us and is the final result.  Your missing term there is 2x