Factoring polynomials review

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 8x³ + 18x.

• 2x(4x² + 9)
• 8x(x² + 10)
• 2(4x³ + 9x)
• 8(x³ + 10x)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

Factor 
3x⁴- 12xy

• x(3x³-12y)
• 3x(x³- 4y)

Factor 4b⁵ + 4b³ + 16b².

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

Factor
k² - 2k - 24

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.B.2

CCSS.HSA.REI.B.4

Factor:
x² + 7x + 12 

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

Factor
x² - 9x + 18.

• (x - 3)(x - 6)
• (x + 6)(x - 3)
• (x - 9)(x - 2)
• (x - 6)(x + 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.B.3

Factor
x² + 4x - 32

• (x+8)(x-4)
• (x-8)(x-4)
• (x-8)(x+4)
• (x+8)(x+4)

Factor
3x² + 5x - 12.

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

Factor
3a² + 4a + 1

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(a-1)