How to factor the GCF and then by difference of two squares

The video tutorial demonstrates how to factor a binomial by identifying common terms and using the greatest common factor (GCF) and the difference of squares method. It explains the process of factoring out the GCF and then applying the difference of squares to achieve the factored form. The tutorial also covers understanding exponents and writing terms as squares, providing a comprehensive guide to factoring polynomials.

What is the first step in factoring a binomial?

• Find the roots of the equation

• Apply the quadratic formula

• Identify the greatest common factor (GCF)

• Use synthetic division

Which of the following is a method to express Z to the 6th as a squared term?

• Z^6 squared

• Z^3 squared

• Z^4 squared

• Z^2 cubed

After factoring out the GCF, what expression is left to factor further?

• 4Z^2 - 1

• 8Z^3 - 1

• 16Z^6 - 1

• Z^6 - 1

What is the formula for the difference of two squares?

• (a - b)(a - b)

• (a + b)(a - b)

• (a - b)(a + c)

• (a + b)(a + b)

What is the final factored form of the polynomial?

• 8Z(8Z - 1)(8Z + 1)

• 2Z(2Z - 1)(2Z + 1)

• Z(Z - 1)(Z + 1)

• 4Z(4Z - 1)(4Z + 1)