Question 206449
r^2 -5r +6
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Remember  factoring  is  reverse  FOIL
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factors  of  first  term are  only 1*1,,,,,(x,,,,)(x,,,,,)
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sign  of  last  term  is  plus, therefore  both  terms  of  factor  must  be  the  same,,,and the  sign of  the  middle  term  is  negative, therefore both  factors  have  negative,,,,,that  is  ( x-,,)(x-,,)
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factors  of  last  term  can  be,,6*1,,3*2,,,,but  which  adds  to  5  which  is  middle  term,,,must  be  3*2,,
Therefore,,,,(x-3)(x-2)  are  the  factors  of  x^2 -5x +6
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to  check  use  FOIL,  (x-3)(x-2) = x^2 -2x -3x +6 = x^2 -5x +6