Factoring Expressions: Key Concepts and Techniques

This video tutorial covers the process of factoring expressions by finding the greatest common factor (GCF). It begins with an introduction to the concept and then demonstrates the steps to find the GCF using examples such as 18 and 24. The tutorial further explains how to factor expressions by placing the GCF outside the parentheses and dividing each term by the GCF. The video concludes with an example of factoring the expression 72 + 18J, reinforcing the method taught.

What is the first step in factoring expressions?

• Pull the numbers out and put them in a sled

• Divide the numbers by 2

• Find the least common multiple

• Add the numbers together

What does GCF stand for?

• Greatest Common Factor

• Greatest Common Function

• Greatest Common Formula

• Greatest Common Fraction

What is the GCF of 18 and 24?

• 2

• 3

• 6

• 12

Which number is used first to divide 160 and 144 in the sled method?

• 3

• 4

• 2

• 5

What is the GCF of 160 and 144?

• 12

• 24

• 8

• 16

What is the GCF of 48 and 72?

• 36

• 16

• 12

• 24

What is the factored form of 48c + 72?

• 16(3c + 4)

• 8(6c + 9)

• 12(4c + 6)

• 24(2c + 3)

What is the GCF of 72 and 18?

• 6

• 9

• 12

• 18

What is the factored form of 72 + 18j?

• 12(6 + 1.5j)

• 18(4 + j)

• 36(2 + 0.5j)

• 24(3 + 0.75j)

What should you do after finding the GCF in factoring expressions?

• Multiply each number by the GCF

• Add the GCF to the numbers

• Divide each number by the GCF and place the results inside parentheses

• Subtract the GCF from the numbers