Examples

Factor over the Complex Numbers
x2+1
Step 1
Multiply the constant in the polynomial x2+1 by -i2 where i2 is equal to -1.
x2-1i2
Step 2
Since both terms are perfect squares, factor using the difference of squares formula, a2-i2=(a+i)(a-i) where a=x and i=i.
(x+i)(x-i)
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 [x2  12  π  xdx ] 
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