Find the effect of values on factoring by creating polynomials.

Positive squares

A:      B:     

Difference of Two Squares

A2 - B2

   

 

   

 

 

Samples of

Factoring Difference of Two Squares:

x2 - 9 = ( x + 3)(x - 3)

       9x2 - 16 = ( 3x + 4)(3x - 4)

 

Positive squares

A:      B:    

Trinomial Squares

B2 + 2AB + A2

   

 

   

 

Samples of

Factoring Trinomial Squares

x2 + 6x + 9 = (x + 3)(x + 3)

4x2 + 12x + 9 = (2x + 3)(2x + 3)

Positive squares

A:      B:    

Trinomial

x2 + (A + B)x + AB

   

 

   

 

Sample of

       Factoring General Trinomial