Examples:

Factor the following:

1) x2 + 8x + 16

   The constant term, 16, is a perfect square itself.  That is, sqrt(16) = 4.
   We can see that 2(4) = 8 which is the same as the linear coefficient, so 
   the original expression can be written as a perfect square.

   From the general form: x2 + 2ax + a2 = (x + a)2
   a = 4 in this case and so x2 + 8x + 16 = (x + 4)2
Return to the tutorial