Factoring Special Products. Factoring: The reverse of multiplication Use the distributive property to turn the product back into factors. To do this,

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Presentation transcript:

Factoring Special Products

Factoring: The reverse of multiplication Use the distributive property to turn the product back into factors. To do this, look for the GCF!

Example: 5x 2 -15x GCF = 5x Pull out 5x from each term! 5x(x-3) is the factored form

12x 2 -18x+6 GCF=6 6(2x 2 -3x+1)

Factoring Special Products a 2 -b 2 =(a+b)(a-b) This is the difference of 2 squares!

Perfect Square Trinomial Pattern *Look to see if the first and last terms are perfect squares, and the middle term is 2ab - if so - it will factor into

FACTOR: Perfect square polynomial: (4y + 3) 2

Difference of perfect squares: (9-3x 2 )(9+3x 2 )

Doesn’t factor, no common factor except 1!

Perfect square polynomial: (2c-9) 2