Question 636032
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
If the following can be factored...
{{{x^2 + 24x + 144 = 0}}}
What 2 numbers have a product of 144 and sum of 24???
F	First terms
O	Outside terms   {{{highlight(n[2]x)}}}
I	Inside terms  + {{{highlight(n[1]x)}}}x   = 24x
L	Last terms    {{{highlight(144)}}}
{{{x^2 + 24x + 144 = (x + n[1])(x+ n[2]) = (x + 12)(x + 12) = (x+12)^2 }}}
another:
{{{x^2 + 6x + 9 = 0 =(x + n[1])(x+ n[2]) }}}
What 2 numbers have a product of 9 and sum of 6???
F	First terms
O	Outside terms   {{{highlight(n[2]x)}}}
I	Inside terms  + {{{highlight(n[1]x)}}}  = 6x
L	Last terms    {{{highlight(9)}}}