Factoring GCF Concepts and Techniques

What is factoring in the context of polynomials?

• The technique of subtracting polynomials

• The reverse process of multiplying polynomials

• The process of dividing polynomials

• The method of adding polynomials

What does GCF stand for?

• Greatest Calculated Figure

• General Common Factor

• General Calculus Function

• Greatest Common Factor

How do you determine the GCF of variables in polynomials?

• By multiplying all the variables together

• By factoring out the variable with the smallest exponent

• By taking the variable with the lowest coefficient

• By taking the variable with the highest exponent

What is the GCF of 4, 12, and 8?

• 8

• 4

• 12

• 2

In example 1B, what is the GCF of the coefficients 15, 45, and 30?

• 30

• 45

• 5

• 15

When factoring polynomials, what do you do with the remaining terms after taking out the GCF?

• Ignore them

• Multiply them by the GCF

• Write them inside parentheses

• Add them to the GCF

How do you verify if you have factored out the GCF correctly?

• By adding the GCF back to the terms

• By dividing the original terms by the GCF

• By subtracting the GCF from the original terms

• By multiplying the GCF with the terms inside the parentheses

What is the GCF of 6, 12, and 24?

• 6

• 3

• 24

• 12

In the B example of the second part, what variables are factored out as part of the GCF?

• m only

• m and n

• n only

• No variables are factored out

After factoring out the GCF, what should you always check for inside the parentheses?

• Both B and C

• If there are any common coefficients that can be factored out further

• If there are any common variables left

• If the terms can be simplified further