Simplifying Expressions with the GCF

What is the prime factorization of 10?

• 2 * 2 * 5

• 2 * 5

• 3 * 5

• 2 * 3

Which of the following is a common factor in the prime factorizations of 5 * P * P * Q * Q * Q * Q * Q * R * R and 2 * 5 * P * Q * Q * R * R?

• 5

• P^2

• Q^3

• R^2

What is the greatest common factor (GCF) of 8 D^2 e^2 and 12 D^2 e^2?

• 8 D^2 e^2

• 6 D^2 e^2

• 2 D^2 e^2

• 4 D^2 e^2

When factoring the polynomial 8 D^2 e^2 + 12 D^3 e^2, what is the first step?

• Add the coefficients

• Multiply the terms

• Find the prime factorization of each term

• Subtract the exponents

What is the GCF of 12 x^4 y^2 z and 42 x^3 y^3 z^2?

• 12 x^4 y^2 z

• 42 x^3 y^3 z^2

• 6 x^3 y^2 z

• 2 x^4 y^2 z

In the expression 12 x^4 y^2 z - 42 x^3 y^3 z^2, what is the term left after factoring out the GCF from the first term?

• 2 x y z

• 2 x y^2 z

• 2 x

• 2 x^2 y z

What is the simplified form of (6 x + 18) / 6?

• 6 x + 3

• x + 18

• x + 3

• 6 x

What is the GCF of 18 x and 45 x^3?

• 45 x^3

• 18 x

• 9 x

• 3 x

When factoring the trinomial 16 T^2 - 60 T + 4, what is the first step?

• Subtract the exponents

• Add the coefficients

• Multiply the terms

• Find the prime factorization of each term

What is the GCF of 16 T^2, 60 T, and 4?

• 16

• 8

• 4

• 2