Factoring #1

4x³ - 100x

• x(2x + 10)(2x - 10)
• 4x(x +5)(x - 5)
• (2x - 10)(2x² + 10)
• 4x(x² - 25)

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)

Tags

CCSS.HSA.APR.C.4

Factor Completely: 
3x⁵ - 27x³
Hint: Factor GCF first. 

• 3(x³ - 3)(x² + 3)
• prime
• 3x³(x² - 9)
• 3x³(x - 3)(x + 3)

Tags

CCSS.HSA.APR.C.4

4m² - 18m + 14

• (2m-2) (2m-7)
• (14m-14) (m-1)
• 2(m-1) (2m-7)
• PRIME

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely: 5x⁴-5

• 5(x²-1)(X²+1) 
• 25(x²-1)(x²+1)
• 5(x+1)(x-1)(x²+1)
• 5(x⁴-1)

Factor completely:
x³ + 3x² - 4x - 12

• (x + 3)(x² - 4)
• (x + 3) (x + 2)(x - 2)
• (x² + 4) (x - 3)
• (x² + 3)(x - 4)

FACTOR 24x³+18x²-6x

• 6x(4x²+3x-1)
• 6x(x²+3x-4)
• 6x(x+4)(x-1)
• 6x(x+1)(4x-1)

Factor completely:
3x² - 7x - 6

• (3x + 2)(x - 3)
• (3x - 2)(x + 3)
• (3x - 3)(x + 3)
• (3x - 4)(x - 2)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Solve
2x² + 17x + 21 = 0

• x= ^-21/₂, -17
• x= ²/₃, 16
• x=-7, ^-3/₂
• x=15, -³/₇

Tags

CCSS.HSA-REI.B.4B