Factoring GCF Mastery Challenge

What is the purpose of factoring in algebra?

• To find expressions that multiply to give the original expression

• To subtract expressions

• To divide expressions

• To add expressions together

What is the Greatest Common Factor (GCF)?

• The difference between the original numbers

• The sum of the original numbers

• The largest number that divides evenly into the original numbers

• The smallest number that divides evenly into the original numbers

What is the GCF of 12 and 16?

• 2

• 8

• 4

• 6

How do you find the GCF of two monomials?

• Subtract the coefficients and exponents

• Add the coefficients and exponents

• Find the GCF of the coefficients and the smaller of the exponents

• Find the GCF of the coefficients and the larger of the exponents

What is the GCF of 15x^3 and 20x^5?

• 5x^5

• 15x^3

• 5x^3

• 20x^3

What is the first step in factoring out the GCF from an expression?

• Add the terms

• Multiply the terms

• Find the GCF of the coefficients and variables

• Subtract the terms

What is the GCF of 6x^2 and 18x^5?

• 6x^5

• 6x^2

• 2x^2

• 18x^2

What is the final step in factoring out the GCF from an expression?

• Divide the terms by the GCF

• Multiply the terms by the GCF

• Put the GCF outside the parentheses

• Add the terms

What is the GCF of 15y^3 and 25y^2?

• 25y^3

• 5y^3

• 15y^2

• 5y^2

What is the GCF of 12, 36, and 18?

• 8

• 6

• 4

• 2