Factoring Techniques and Methods

The video tutorial covers various algebraic factoring techniques, including finding the greatest common factor (GCF), factoring differences of squares, and using the SOAP method for sums and differences of cubes. It also explains how to factor trinomials using the X method and applies mixed factoring techniques to complex expressions. The tutorial concludes with a homework assignment on Delta Math.

What is the GCF of 24 and 54?

• 4

• 6

• 12

• 8

How do you factor x^2 - y^2?

• (x + y)(x + y)

• (x + y)(x - y)

• (x - y)(x + y)

• (x - y)(x - y)

What is the acronym used for factoring cubes?

• SOAP

• SOAR

• SOUP

• SOUR

In the SOAP method, what does the 'O' stand for?

• Opposite

• Original

• Order

• Option

What is the result of factoring x^3 - y^3 using the SOAP method?

• (x - y)(x^2 + xy + y^2)

• (x + y)(x^2 - xy + y^2)

• (x - y)(x^2 - xy + y^2)

• (x + y)(x^2 + xy + y^2)

When using the X method, what should you do if the leading coefficient is not one?

• Ignore it

• Subtract and divide

• Divide and slide

• Multiply and add

What is the first step in factoring by grouping?

• Group terms

• Find the GCF

• Use the quadratic formula

• Divide by the leading coefficient

What should you always check for first when factoring any expression?

• Trinomial form

• Greatest common factor

• Sum of cubes

• Difference of squares

Which of the following is a perfect square?

• 8

• 10

• 9

• 6

What is the result of factoring 4q^2 - 9?

• (q - 1)(q + 1)

• (4q - 9)(4q + 9)

• (q - 3)(q + 3)

• (2q - 3)(2q + 3)