3.3 Polynomial Identities

The difference of a square identity tells us that a² - b² =

• a - b

• a + b

• (a+b)(a-b)

The sum of a cubes identity tells us that a³ + b³ =

• a + b

Which are the coefficients of (a+b)⁷ if it was expanded?

• cannot determine

• 1, 6, 15, 20, 15, 6, 1

• 1, 7, 21, 35, 35, 21, 7, 1

• 1, 1

• Difference of Squares

• Perfect Square Trinomial

• Sum of Cubes

• Difference of Cubes

What is the degree of the polynomial?
  9x⁵ - x⁴ + 2x

• 9
• 5
• 4
• 2

Factor x² – 16.

• (x + 2)(x – 8)
• (x – 4)(x – 4)
• (x + 4)(x + 4)
• (x + 4)(x – 4)

Which of these can factor using difference of two squares?

• 144x² - 49y²

• x² + 4x - 12

• 100x² + 20x + 1

• 14x - 16

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Fully Factor the Following
8x³-27

• (2x+3)(4x²-6x+9)
• (2x-3)(4x²+6x+9)
• (2x-3)(4x²+6x-9)
• (2x-3)(2x²+6x+9)