Common Monomial Factors with and without Variables

Which is a common factor of 12x and 27?

• x

• 12

• 3

• 9

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)

Factor using GCF or monomial factoring:

2x + 18

• 2(x + 9)

• 2(x + 8)

• 2(2x + 9)

• cannot be factored

Factor using GCF or monomial factoring:

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Factor using GCF or monomial factoring:

w³ + 3w

• 3w(1)

• w(w² + 3)

• w³(w + 3)

What is the GCF of the terms below?

24x³ + 36x²

• 8x

• 6x²

• 12x²

• 4x

• 12x³

Find the GCF of the terms of each polynomial.

72y⁵ + 18y²

• y²

• 4y⁵

• 18y

• 18y²

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

• 100a²b²
• 10b³
• 10ab²
• 10b²

Expand (x-2)(x-3)

• x² - 6x + 5

• x² - 6x - 5

• x² - 5x - 6

• x² - 5x + 6