Factoring and GCF Problems

In this video, the teacher explains how to factor quadratic equations using the greatest common factor (GCF) method and factoring trinomials where the leading coefficient is one. The video covers examples and provides step-by-step instructions for identifying the GCF and using it to simplify expressions. It also introduces advanced techniques for factoring more complex trinomials and special cases, such as differences of squares. The video emphasizes the importance of finding the GCF first and provides practice problems for viewers to try.

What is the first step in factoring quadratic equations?

• Finding the roots

• Completing the square

• Using the quadratic formula

• Identifying the greatest common factor

What is the greatest common factor (GCF) of 12K and -18?

• 12

• 6

• 3

• 18

In the example of factoring 40 and 64, what is the GCF?

• 4

• 8

• 32

• 16

What is the GCF of 14, -35, and -7?

• 2

• 14

• 5

• 7

When factoring trinomials where a = 1, what method can be used?

• Both box and cross methods

• Box method

• Cross method

• None of the above

What two numbers multiply to 45 and add to 14?

• 9 and 5

• 6 and 7

• 8 and 6

• 10 and 4

What two numbers multiply to 26 and add to -15?

• 13 and 2

• 13 and -2

• -13 and 2

• -13 and -2

What two numbers multiply to -48 and add to 2?

• 6 and -8

• -4 and 12

• -6 and 8

• 4 and -12

What is the GCF of 2K^2, -8K, and -40?

• 10

• 8

• 4

• 2

What two numbers multiply to 6 and add to -5?

• 3 and 2

• -3 and -2

• 6 and -1

• -6 and 1