Algebra 2 Factoring GCF

What do you mean by GCF?

• Great common factor

• Great coefficient factor

• Greatest common factor

• Greatest coefficient factor

Factor

3x² - 15x = 0

• 3x(x - 5)

• x(3x - 15)

• 3(x² - 5x)

• 3x(x - 15)

x² + 7x = 0

• x(x + 7)

• x(x - 7)

• x² + 7x

• x(x + 7x)

Factor and solve 6p² - 21p = 0

• 3p(2p - 7)

  p = 0

  p = 3.5

• 6p(p - 3)

  p = 0

  p = 3

• p(6p - 21)

  p = 0

  p = 3.5

• 2p(3p - 10)

  p = 0

  p = 10/3

What is the first question you ask yourself when factoring a polynomial? 

• How many terms does it have? 

• Is there a GCF? 

• What strategy should I use? 

• Why do I have to learn this?!?!?!

Factor
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Factor Completely

3x² + 18x +15

Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Cannot be factored

Factor Completely x^4-9x^2 Hint: Factor GCF first.

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

Factor

3x² - 7x + 2

• (x - 1) (3x + 2)

• (x - 2) (3x -1)

• (x - 1) (3x - 2)

• (x + 2) (3x + 1)