GCF Factoring

How do you factor the expression 18m^2 + 24m?

• 6m(3m + 4)

• 6m(2m + 3)

• 3m(6m + 8)

• 9m(2m + 4)

How can you check if your factoring is correct?

• By substituting values into the expression to see if they match.

• By distributing the factors back to see if you obtain the original expression.

• By simplifying the expression to its lowest terms.

• By comparing it with a similar problem's solution.

How do you factor the expression 15x^2 + 10x?

• 5x(3x + 2)

• 3(5x^2 + 2x)

• 15x(x + 2)

• 5(3x^2 + 2x)

What is the GCF of the coefficients in the expression 8a^3b - 12a^2b^2 + 4ab?

• 2

• 4

• 6

• 8

What is the GCF of 24 and 36?

• 8

• 10

• 12

• 14

Factor the expression: 5x^2 + 10x + 15.

• 5(x^2 + 2x + 3)

• 5(x^2 + 2x + 5)

• 5(x^2 + 3x + 3)

• 5(x^2 + 2x + 2)

What is the GCF of the terms in the expression 14a^2b - 21ab^2 + 7ab?

• 7a

• 7ab

• 14ab

• 21ab

Factor the expression: 12x + 18.

• 6(2x + 3)

• 3(4x + 6)

• 2(6x + 9)

• 12(1x + 1.5)

What is the first step in factoring an expression by GCF?

• Identify the GCF of all the terms in the expression.

• Multiply all the terms together.

• Add all the coefficients of the terms.

• Subtract the smallest term from the largest term.

What does GCF stand for in mathematics?

• Greatest Common Factor

• Greatest Common Fraction

• Generalized Common Factor

• Greatest Common Function