Factoring Trinomials with Greatest Common Factor

The video tutorial covers the process of factoring trinomials with a greatest common factor (GCF). It begins with an introduction to the concept, followed by three detailed examples. The first example demonstrates factoring a trinomial with a GCF, the second uses the grouping method, and the third tackles a more complex trinomial. The tutorial emphasizes the importance of identifying the GCF first to simplify the process and reduce the complexity of calculations.

What should be the first step when factoring trinomials?

• Identify the greatest common factor

• Divide by the smallest number

• Multiply a and c

• Look for binomials

In the first example, what was the greatest common factor identified?

• 3

• 5

• 2

• 6

What is the result of multiplying a and c in the first example?

• -1

• 30

• 1

• -30

In the second example, what was the greatest common factor identified?

• 6

• 5

• 3

• 2

What method is used to factor the trinomial in the second example?

• Factoring by grouping

• Factoring by substitution

• Factoring by addition

• Factoring by elimination

In the third example, what was the greatest common factor identified?

• 6

• 2

• 3

• 4

What is the product of a and c in the third example?

• 90

• 150

• 120

• 60

Why is it important to factor out the greatest common factor first?

• It changes the signs of the terms

• It eliminates the need for further factoring

• It makes the numbers larger

• It simplifies the trinomial

What would be the product of a and c if the greatest common factor was not factored out in the third example?

• 180

• 270

• 360

• 450

What should you do if you have questions about the factoring process?

• Ask a friend

• Ignore them

• Try to solve it yourself

• Bring them to class