Understanding GCF and Cross-Multiplication

This video tutorial demonstrates how to factor trinomials by identifying and using the greatest common factor (GCF). It provides three examples, each illustrating the process of factoring trinomials with different GCFs. The tutorial explains the steps involved in breaking down the trinomials and verifying the factors obtained.

What does GCF stand for in the context of factoring trinomials?

• Greatest Common Formula

• Greatest Common Function

• Greatest Common Fraction

• Greatest Common Factor

What is the first step in factoring a trinomial with a GCF?

• Add all terms together

• Subtract the smallest term from the largest

• Multiply all terms by 2

• Identify the largest number that divides all terms

In the example where the GCF is 2, what is the result of dividing 10 by 2?

• 4

• 5

• 6

• 7

What is the result of dividing 10 by 2 in the first example?

• 4

• 6

• 5

• 7

What is the result of dividing 8 by 2 in the first example?

• 4

• 3

• 6

• 5

What is the result of dividing 2 by 2 in the first example?

• 2

• 1

• 0

• 3

After extracting the GCF, what is the next step in factoring the trinomial?

• Add the GCF back to the terms

• Factor the inside of the trinomial

• Multiply the terms by the GCF

• Divide the terms by another number

What two numbers multiply to get 5 in the cross-multiplication method?

• 1 and 5

• 2 and 3

• 4 and 5

• 3 and 4

In the cross-multiplication method, what is the result of 1 times 1?

• 3

• 0

• 1

• 2

In the cross-multiplication method, what is the result of 5 times 5?

• 25

• 35

• 20

• 30