Factoring Polynomials: Difference of Two Squares

What is the main focus of the video tutorial?

• Solving linear equations

• Solving systems of equations

• Factoring polynomials using the difference of two squares

• Graphing quadratic functions

Which of the following is a requirement for a polynomial to be factored using the difference of two squares?

• The polynomial must be a trinomial

• Both terms must be perfect squares

• The polynomial must have three terms

• Both terms must be perfect cubes

What are the factors of x^2 - 9?

• (x + 3)(x + 3)

• (x - 3)(x + 3)

• (x + 9)(x - 9)

• (x - 9)(x + 9)

What is the square root of 36x^2?

• 6x

• 6

• x

• 36x

What are the factors of 36x^2 - 25?

• (6x + 5)(6x - 5)

• (6x - 5)(6x - 5)

• (36x + 5)(36x - 5)

• (6x + 25)(6x - 25)

What is the square root of 100x^2?

• 10

• x

• 100x

• 10x

What are the factors of 100x^2 - 121y^2?

• (10x + 121y)(10x - 121y)

• (100x + 121y)(100x - 121y)

• (10x - 11y)(10x - 11y)

• (10x + 11y)(10x - 11y)

What is the square root of 64a^4b^4?

• 64a^2b^2

• 8ab

• 8a^2b^2

• 64ab

What is the square root of 625?

• 15

• 20

• 30

• 25

What are the factors of 64a^4b^4 - 625?

• (8a^2b^2 - 25)(8a^2b^2 - 25)

• (64a^2b^2 + 25)(64a^2b^2 - 25)

• (8ab + 25)(8ab - 25)

• (8a^2b^2 + 25)(8a^2b^2 - 25)