Factor by Grouping Techniques

What is the difference between terms and factors?

• Terms and factors are the same.

• Terms are separated by addition or subtraction signs, while factors are multiplied.

• Terms are multiplied, while factors are separated by addition or subtraction signs.

• Terms are always numbers, while factors are always variables.

What does GCF stand for?

• Greatest Common Fraction

• Greatest Common Function

• Greatest Common Formula

• Greatest Common Factor

In the expression 5x + 10, what is the GCF?

• 10

• 2

• 5

• x

When can we use factoring by grouping?

• When we have three terms.

• When we have two terms.

• When we have five terms.

• When we have four terms.

What is the first step in factoring by grouping?

• Add the terms.

• Multiply the terms.

• Factor out the GCF from the entire expression.

• Group the terms into pairs.

In the expression x^3 - 2x^2 + 4x - 8, what is the GCF of the first group (x^3 - 2x^2)?

• x^2

• x

• 2x

• 4

Why do the parentheses need to be the same in factoring by grouping?

• So that we can multiply them.

• So that we can add them together.

• So that we can divide them.

• So that we can factor them out as a common factor.

What should you do if the parentheses are not the same after grouping?

• Check the second set for correct signs and numbers.

• Multiply the terms again.

• Add more terms to the expression.

• Divide the terms by a different number.

What is the final form of a factored expression?

• Parentheses times parentheses.

• Addition of terms.

• Subtraction of terms.

• Division of terms.

Why is factoring important in solving equations?

• It helps find x-intercepts.

• It makes the equation longer.

• It changes the variables.

• It adds more terms.