Factoring Binomials: Exponents, Squares, and Cubes

This video tutorial focuses on factoring binomials, starting with the greatest common factor (GCF) method. It then explores the difference of squares technique, providing examples and explanations. The video concludes with the difference of cubes method, offering a comprehensive guide to factoring various polynomial expressions.

What is the first step in factoring the expression x^2 + 4x?

• Find the difference of squares

• Use the quadratic formula

• Remove the greatest common factor

• Complete the square

What is the GCF of 12y^3 and 18y^5?

• 18y^3

• 6y^3

• 12y^3

• 6y^5

Which formula is used to factor x^2 - 25?

• (a + b)(a - b)

• (a - b)(a + b)

• (a - b)^2

• (a + b)^2

What is the factored form of x^2 - 36?

• (x - 6)^2

• (x - 6)(x + 6)

• (x + 6)^2

• (x - 3)(x + 3)

What is the GCF of 4x^2 and 64?

• 16

• 8

• 4

• 2

What is the factored form of 9x^2 - 49?

• (3x - 7)(3x + 7)

• (3x - 3)(3x + 3)

• (3x + 7)^2

• (3x - 7)^2

Which technique is used to factor x^3 - 8?

• Quadratic formula

• Difference of cubes

• Sum of cubes

• Difference of squares

What is the factored form of x^3 - 8?

• (x - 2)(x^2 + 2x + 4)

• (x - 2)(x^2 - 2x + 4)

• (x + 2)(x^2 + 2x + 4)

• (x + 2)(x^2 - 2x + 4)

What is the cube root of 27x^3?

• 9x

• 3x

• 27x

• x

What is the factored form of 27x^3 + 64?

• (3x - 4)(9x^2 - 12x + 16)

• (3x + 4)(9x^2 - 12x + 16)

• (3x - 4)(9x^2 + 12x + 16)

• (3x + 4)(9x^2 + 12x + 16)