Learn how to factor out the GCF from a binomial

The video tutorial explains how to factor expressions by identifying and factoring out the greatest common factor (GCF). It begins with an introduction to the concept of factoring and common factors. The tutorial then demonstrates how to find the GCF of numbers and variables in an expression. Finally, it shows the process of factoring out the GCF from the expression, providing a step-by-step guide to simplify the expression.

What is the greatest common factor of the numbers 15 and 45?

• 15

• 5

• 10

• 20

Which variable is the largest common factor of X^3 and X^2?

• X

• X^2

• X^3

• X^4

What is the first step in factoring out the greatest common factor from an expression?

• Subtract the GCF from each term

• Multiply the terms by the GCF

• Divide each term by the GCF

• Add the GCF to each term

After factoring out the GCF, what should be done with the quotient of the division?

• Multiply it by the GCF

• Ignore it

• Add it to the original expression

• Write it as the new expression

What is the final factored form of the expression 15X^3 + 45X^2 after factoring out the GCF?

• X^2(15X + 45)

• X + 3

• 15X^2(X + 3)

• 15X^3 + 45X^2