Factoring Polynomials - Perfect and difference of squares

What is the prime factorization of 80?

• 8 * 2 * 5
• 2⁴ * 5
• 4² * 5
• 8 * 10

• 6x²
• 18x²
• 54x⁵y
• 18x³y

• (3b)/(4a²)
• (9a²b⁴)/(12a⁴b³)
• (3a²)/(4b)
• (3a⁶b⁷)/4

• (2n)/(m³)
• (m³n)/2
• (m⁷n⁵)/2
• (m³)/(2n)

Divide.
(8c² + 16c⁶) ÷ 4c²

• 2c + 4c³
• 2c + 4c⁴
• 2 + 4c³
• 2 + 4c⁴

Is the polynomial a perfect square trinomial? 
x² - 12x + 36
If it is, how would it factor?

• Is not a perfect square
• Is a perfect square; (x + 6)²
• Is a perfect square; (x - 12)²
• Is a perfect square; (x - 6)²

Is the polynomial a perfect square trinomial?
x² - 16x + 16
If it is, how would it factor?

• Is not a perfect square
• Is a perfect square; (x + 4)²
• Is a perfect square; (x - 4)²
• Is a perfect square; (x - 16)²

Is the polynomial a difference of squares?
w² - 4
If it is, how would it factor?

• Is not a difference of squares
• Is a difference of squares; (w - 2)²
• Is a difference of squares; (w + 2)²
• Is a difference of squares;
  (w + 2)(w - 2)

Is the polynomial a difference of squares?.
d² - 36
If it is, how would it factor?

• Is not a difference of squares
• Is a difference of squares;
  (d + 6)(d - 6)
• Is a difference of squares; (d - 6)²
• Is a difference of squares;
  (d + 18)(d - 18)

Is it possible to factor the polynomial by using a difference of squares?
2y² - 18

• Yes
• No
• Yes, but not immediately