Factoring Out a Monomial Quiz

What is a monomial?

• A variable with a fractional exponent.

• A constant number only.

• A polynomial with two terms.

• A single term that can be a real number, a variable, or a product of both with whole number exponents.

Which of the following is the GCF of the constants 4, 2, and 8?

• 1

• 4

• 2

• 8

How do you determine the GCF of variables like x^4, x^3, and x^2?

• By taking the variable with the smallest exponent.

• By taking the variable with the largest exponent.

• By multiplying the exponents.

• By adding the exponents.

What is the first step in factoring out a monomial from a polynomial?

• Multiply all terms by the GCF.

• Subtract the GCF from each term.

• Divide each term by the GCF.

• Add the GCF to each term.

After factoring out the GCF, what is the resulting expression for the polynomial 4x^4 + 2x^3 - 8x^2?

• 2x(2x^3 + x^2 - 4x)

• 2x(2x^3 + 2x^2 - 4x)

• 2x(2x^3 + x^2 + 4x)

• 2x(2x^3 - x^2 - 4x)