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x 2   + 7x + 12
    b=                         c=
Factor
pairs of
               +     +     +      +   +
   C
 STOP when
sum equals b



(x+                      )( x +           )
x 2      + bx + c
    b=                        c=
Factor
pairs of
               +    +     +      +   +
   C
 STOP when
sum equals b



(x+                     )( x +           )
x 2   + 7x + 12
    b=                         c=
Factor
pairs of
               +     +     +      +   +
   C
 STOP when
sum equals b



(x+                      )( x +           )
x 2   + 7x + 12
    b= 7                       c=
Factor
pairs of
               +     +     +      +   +
   C
 STOP when
sum equals b



(x+                      )( x +           )
x 2   + 7x + 12
    b= 7                       c = 12
Factor
pairs of
               +     +     +      +     +
   C
 STOP when
sum equals b



(x+                      )( x +             )
x 2   + 7x + 12
    b= 7                       c = 12
      1
Factor
pairs of
      +              +     +      +     +
   C 12
 STOP when
sum equals b



(x+                      )( x +             )
x 2   + 7x + 12
    b= 7                       c = 12
    1
Factor
pairs of
    +                +     +      +     +
 C 12
   13
 STOP when
sum equals b



(x+                      )( x +             )
x 2   + 7x + 12
    b= 7                       c = 12
    1                2
Factor
pairs of
    +                +     +      +     +
 C 12                6
   13
 STOP when
sum equals b



(x+                      )( x +             )
x 2   + 7x + 12
    b= 7                       c = 12
    1                2
Factor
pairs of
    +                +     +      +     +
 C 12                6
   13                8
 STOP when
sum equals b



(x+                      )( x +             )
x 2   + 7x + 12
    b= 7                    c = 12
    1                2     3
Factor
pairs of
    +                +     +      +   +
 C 12                6     4
   13                8
 STOP when
sum equals b



(x+                      )( x +           )
x 2   + 7x + 12
    b= 7                    c = 12
    1                2     3
Factor
pairs of
    +                +     +      +   +
 C 12                6     4
   13                8     7
 STOP when
sum equals b



(x+                      )( x +           )
x 2   + 7x + 12
    b= 7                    c = 12
    1                2     3
Factor
pairs of
    +                +     +      +   +
 C 12                6     4
   13                8     7
 STOP when
sum equals b



(x+                      )( x +           )
x 2   + 7x + 12
    b= 7                  c = 12
     123+
Factor
pairs of
     + +   +                       +
 C 12 6 4
    13 8 7
 STOP when
sum equals b



( x + 3 )( x + 4                       )
x 2   + 7x + 12
    b= 7                  c = 12
     123+
Factor
pairs of
     + +   +                       +
 C 12 6 4
    13 8 7
 STOP when
sum equals b



( x + 3 )( x + 4                       )

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Factoring Trinomials

  • 1. x 2 + 7x + 12 b= c= Factor pairs of + + + + + C STOP when sum equals b (x+ )( x + )
  • 2. x 2 + bx + c b= c= Factor pairs of + + + + + C STOP when sum equals b (x+ )( x + )
  • 3. x 2 + 7x + 12 b= c= Factor pairs of + + + + + C STOP when sum equals b (x+ )( x + )
  • 4. x 2 + 7x + 12 b= 7 c= Factor pairs of + + + + + C STOP when sum equals b (x+ )( x + )
  • 5. x 2 + 7x + 12 b= 7 c = 12 Factor pairs of + + + + + C STOP when sum equals b (x+ )( x + )
  • 6. x 2 + 7x + 12 b= 7 c = 12 1 Factor pairs of + + + + + C 12 STOP when sum equals b (x+ )( x + )
  • 7. x 2 + 7x + 12 b= 7 c = 12 1 Factor pairs of + + + + + C 12 13 STOP when sum equals b (x+ )( x + )
  • 8. x 2 + 7x + 12 b= 7 c = 12 1 2 Factor pairs of + + + + + C 12 6 13 STOP when sum equals b (x+ )( x + )
  • 9. x 2 + 7x + 12 b= 7 c = 12 1 2 Factor pairs of + + + + + C 12 6 13 8 STOP when sum equals b (x+ )( x + )
  • 10. x 2 + 7x + 12 b= 7 c = 12 1 2 3 Factor pairs of + + + + + C 12 6 4 13 8 STOP when sum equals b (x+ )( x + )
  • 11. x 2 + 7x + 12 b= 7 c = 12 1 2 3 Factor pairs of + + + + + C 12 6 4 13 8 7 STOP when sum equals b (x+ )( x + )
  • 12. x 2 + 7x + 12 b= 7 c = 12 1 2 3 Factor pairs of + + + + + C 12 6 4 13 8 7 STOP when sum equals b (x+ )( x + )
  • 13. x 2 + 7x + 12 b= 7 c = 12 123+ Factor pairs of + + + + C 12 6 4 13 8 7 STOP when sum equals b ( x + 3 )( x + 4 )
  • 14. x 2 + 7x + 12 b= 7 c = 12 123+ Factor pairs of + + + + C 12 6 4 13 8 7 STOP when sum equals b ( x + 3 )( x + 4 )