Algebra: Factoring Polynomials

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 Completely: 
2c² + 4c - 84
Hint: Factor GCF first.

• (c-6)(2c+14)

• (c+7)(2x-12)

• (c-4)(2c+21)

• 2(c+7)(c-6)

Factor Completely:
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor Completely: 
2k²-14k-60
Hint: Factor GCF first. 

• 2(k-10)(k-3)

• Not Factorable

• (k-5)(k+9)

• 2(k-10)(k+3)

9x² - 49y²

• ( 3x + 7y) (3x + 7y) 

• ( 3x - 7y) (3x + 7y) 

• ( 3x - 7y) (3x - 7y) 

• Prime

Factor:
56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Factor completely.
2n² + n - 6

• (2n + 7)(n - 9)

• Not factorable

• (2n - 3)(n - 2)

• (2n - 3)(n + 2)

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

x⁴-9x²

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)