Factoring and Dividing Expressions

The video tutorial explains how to factor the greatest common factor (GCF) from algebraic expressions. It begins with an introduction to the concept of GCF and its importance in factoring. The tutorial then demonstrates how to factor a binomial by identifying the GCF of coefficients and variables, followed by a step-by-step division process. Next, it covers factoring a trinomial, emphasizing the selection of the lowest exponent for variables and the division of each term by the GCF. The tutorial concludes with a reminder to include placeholders when terms completely divide out.

What is the first step in factoring any expression?

• Look for the greatest common factor

• Multiply all terms

• Add all coefficients

• Subtract the smallest term

When factoring a binomial, which exponent should you choose for the variable?

• The lowest exponent

• The highest exponent

• The average of the exponents

• The exponent of the first term

What is the result of dividing 6x^2y by its GCF 3x^2y?

• x^2

• 2

• y

• 3

In a trinomial, what is the GCF of the coefficients 4, 8, and 2?

• 1

• 8

• 4

• 2

What is the GCF of y^5, y^3, and y^2?

• y^2

• y^3

• y^5

• y

What is the result of dividing 4y^5 by 2y^2?

• 4y^3

• 4y^2

• 2y^2

• 2y^3

What should you always remember to include when everything divides out to 1?

• A placeholder

• A variable

• A coefficient

• A zero

What is the result of dividing 8y^3 by 2y^2?

• 4y

• 2y^2

• 4y^2

• 2y

What is the GCF of the terms 2y^5, 4y^3, and 2y^2?

• y^2

• 2y^5

• 4y^3

• 2y^2

What is the result of dividing 2y^2 by itself?

• 1

• 2

• y

• 0