Reverse Distributive Property: Factoring Expressions

This video tutorial teaches how to factor expressions by reversing the distributive property. It covers common mistakes students make, such as not factoring all terms or choosing incorrect common factors. The tutorial explains how to factor expressions with negative terms and highlights the importance of considering signs. It also demonstrates that some expressions can be factored in multiple ways, using different common factors. By the end of the lesson, students will understand how to rewrite expressions through factoring.

What is a common mistake students make when factoring expressions?

• Using only positive factors

• Choosing a factor that is not common to all terms

• Ignoring the signs of the terms

• Factoring each term separately

When factoring an expression with a negative term, what should you pay attention to?

• The variables in the terms

• The signs of the terms

• The coefficients of the terms

• The number of terms

How can the expression negative 4x plus 12 be factored?

• 4 times the quantity x minus 3

• Negative 4 times the quantity x plus 3

• Negative 4 times the quantity x minus 3

• 4 times the quantity x plus 3

What is one way to factor the expression 6x plus 24?

• 5 times the quantity 1.2x plus 4.8

• 2 times the quantity 3x plus 12

• 3 times the quantity 2x plus 8

• 4 times the quantity 1.5x plus 6

Which of the following expressions can have multiple common factors?

• 4x plus 12

• 6x plus 24

• Negative 4x plus 12

• 5x plus 10