Factoring polynomials Day 1

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Factor
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)

Factor
k² - 2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

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?!?!?!

x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Factor by grouping:

x³ - 5x² + 5x - 25

• (x²-5)(x-5)

• (x²+5)(x-5)

• (x²+5)(x+5)

• (x²-1)(x-25)

Factor by grouping:

x³ + 7x ² - 2x - 14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Factor by grouping

x³ - 4x² - 4x + 16

• (x+4)(x+2)

• (x-4)(x² -4)

• (x+4)(x² -4)

• (x-4)(x-2)

Factor by grouping:

4p³ + 8p² + 3p + 6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

What is the GCF? 5x²+20x

• 5
• x
• 5x
• 20x