Factoring three terms with distributive property

The video tutorial explains how to factor expressions by finding the greatest common factor (GCF). It begins with an introduction to factoring and the importance of identifying the GCF. The instructor demonstrates how to find the GCF of numbers and variables, followed by a step-by-step process of factoring using the GCF. The tutorial includes dividing each term by the GCF and simplifying the expressions to reach the final answer.

What is the first step in factoring a polynomial?

• Subtracting the smallest term from the largest

• Adding all terms together

• Finding the least common multiple

• Identifying the greatest common factor

Which number is identified as the GCF for the given problem?

• 10

• 15

• 20

• 5

Why can't 'Y' be part of the GCF in this problem?

• Because it is not present in all terms

• Because it is the smallest variable

• Because it is a constant

• Because it is already factored out

What is the result of dividing 5X^3 by 5X?

• X^2

• X^3

• 1

• X

What is the final factored form of the expression after applying the GCF?

• 5X^2 + 2XY + 5

• 5X^2Y^2 + 2XY + 5

• 5X^3 + 10X^2 + 25X

• 5XY^2 + 2X + 5