Quiz on Factoring Monomials

What is the first step in factoring common monomials?

• Divide the given polynomials to the GCF.

• Find the GCF of the coefficient and variable.

• Multiply the exponents.

• Add the coefficient and exponents.

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 the following completely:

20x³ + 15x²

​ (a)   (​ (b)   )

• 5x²

• 4x + 3

• 15x

• 20x²

• 2x + 3

• 5x

• 4x² + 3

What is the GCF of the terms below? 24x³ + 36x² is (a)   .

• 12x2

• 6x

• 24x3

• 36x2

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?

• 8x

• 6x²

• 12x²

• 4x

• 12x³

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

• 100a²b²

• 10b³

• 10ab²

• 10b²