Multiplying and Factoring Polynomials

Simplify:
2x ( -2x -3)

• -4x - 3
• x² - 3
• -4x² - 6x
• -4x - 6

5(x² + 4x - 3)

• 5x² + 20x - 15
• 5x² + 20x - 15x
• 5 + x² + 4x - 3
• 5x² + 9x - 8

Simplify:
2x(-2x-3)

• -4x - 3
• x² - 3
• -4x² - 6x
• -4x - 6

-5x⁶(3x² - 12x + 30)

• -15x⁸ + 60x⁷ - 150x⁶
• 15x⁸ - 60x⁷ - 150x⁶
• 8x⁶ - 17x + 35
• -8x⁶ + 17x - 35x²

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:
18a²-15a

• 15a(3a-1)
• 3a(6a-1)
• 3(6a-5)
• 3a(6a-5)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by GCF:
56a³ - 8a

• 8a²(56a³-8a)
• 8a(7a²-1)
• 8a(7a³-a)
• 8a²(35a²-a)

Factor by GCF:
10x² + 15x - 5

• 25(10x³+45x-15)
• 5(2x³ + 3x²-x)
• x(10x³+15x-5)
• 5(2x²+3x-1)

Factor by GCF:
4b⁵ + 4b³ + 16b²

• 4b³(b⁴+b²+4b)
• 4b³(b⁴+4b+5)
• 4(b⁵+b³+4b²)
• 4b²(b³+b+4)

What is the GCF of the trinomial?
3x² - 9x -120

• 3
• 2
• 6
• 9

Tags

CCSS.6.NS.B.4