4.4 Factoring Polynomials

What is the first question you ask yourself when factoring a polynomial? 

• What color nail polish should I wear tomorrow? 
• Is there a GCF? 
• How many ceiling tiles are in here? 
• Why do I have to learn this?!?!?!

Factor:

3x³ + 9x² - 15x

• x(3x² + 9x - 15)

• 3x(x² + 3x - 5)

• 3x(x² - 9x + 15)

• x(3x² -9x + 15)

Factor:

x³ + 1

• (x + 1)³

• (x+1)(x² - x + 1)

• (x - 1) (x² + x - 1)

• (x + 1)(x² - 2x + 1)

Factor:

27x³-64

• (3x-4)(9x²+12x+16)

• (3x-4)(9x²-12x+16)

• (3x+4)(9x²-12x+16)

• (3x+4)(9x²+12x+16)

Factor
k²+7x+10

• (k+2)(k+5)
• (k-2)(k-5)
• (k+10)(k+4)
• (k+2)(k-5)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

factor completely 
81m² - 1 

• not factorable
• (m-9)(m+9)
• 9m(9m-1)
• (9m-1)(9m+1)

Tags

CCSS.HSA.APR.C.4

Factor:

3x² + 18x +15

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor:

3x³-x²+6x-2

• (x²+2)(3x+1)

• (x²+2)(3x-1)

• (3x³+6x)(x²-2)

• none of the aboe

Factor:

4k²+24k+36

• (2k+6)²

• (2k-6)²

• (2k-6)(2k+6)

• 4(k+3)²

8r³ + 16r²

• 4r²(2r + 4)
• 8r²(r + 2)
• 8(r³ + r²)
• 4(r³ + 2r²)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3