Gcf and Perfect Square Factoring

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Factor completely. (Hint: Factor out GCF first.)

18x² - 50

• 2 ( 9x² - 25 )

• ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x - 5 ) ( 3x - 5 )

Factor completely: 25x²+60x+36

• (25x-6)(x-1)

• (5x-6)(5x-6)

• (5x+6)²

• (25x+4)(x+9)

Factor: 4x² - 20x + 25

• (4x - 25) (x -1)

• (2x + 5) (2x - 5)

• (2x - 5)²

• (4x - 5) (x - 5)

Factor completely:

9m² + 30mn + 25n²

• (3m + 5n)²

• (3m - 5n)²

• (3m + n)²

• (m + 5n)²

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

What is the GCF of 18xy and 12x

• 3

• 3x

• 6x

• 2x

Factor completely.

121x² - 49

• ( 11x - 7 ) ²

• ( 11x - 7 ) ( 11x - 7 )

• ( 11x + 7 ) ( 11x - 7 )

• ( 12x + 7 ) ( 12x - 7 )

32n² - 50
(Check for a GCF)

• (16n - 25)(16n + 25)

• 2(8n - 25)(8n + 25)

• 2(4n + 5)(4n - 5)

• Not Factorable

36m² - 9
(Check for a GCF)

• (6m + 3)(6m - 3)

• 9(4m² - 1)

• 9(2m - 1)(2m + 1)

• Not Factorable