ALG Unit 5b: Factoring out the GCF of a Polynomial

Factor using GCF or monomial factoring:

2n² - 8n³

• 2n²(n - 4n²)

• 2n²(1 - 4n)

• 2n³(10 - 8n²)

• 3n(1 - 4n)

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Tags

CCSS.6.EE.A.3

CCSS.6.NS.B.4

Factor using GCF or monomial factoring:

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

What is the GCF of the terms below?

24x³ + 36x²

• 8x

• 6x²

• 12x²

• 12x³

What is the greatest common factor of 20a²b² and 50b³?

• 100a²b²
• 10b³
• 10ab²
• 10b²

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.NS.B.4

Which of these statements is true?

• All numbers have 4 factors.
• 2 is a factor of every number.
• 1 is a factor of every number.
• All odd numbers have an odd number of factors.

Factor:

2n² - 8n³

• 2n²(n - 4n²)

• 2n²(1 - 4n)

• 2n³(10 - 8n²)

• 3n(1 - 4n)

Factor by GCF:

6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• Prime

Tags

CCSS.6.EE.A.3

CCSS.6.NS.B.4

Factor:

56a³ - 8a

• 8a²(56a³ - 8a)

• 8a(7a² - 1)

• 8a(7a³ - a)

• 8a²(35a² - a)

Factor: 12x²y⁴ - 6xy

• 3xy (4xy³ - 2)

• 6xy (2xy³ - 1)

• 6xy (2x³y⁵ - x²y²)

• 6xy ( 2xy³)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3