Alg 2 9 week test

If (n³ - 2) is a factor of

2n⁴ + 7n³ - 4n - 14. Which is the other factor. (Factor Theorem)

• (n - 2)

• (n - 1)³

• (2n + 7)

• (n + 1)

If (k² - 13) is a factor of

k⁴ - 10k² - 39. What is the other factor? (Remainder Theorem)

• (k² + 3)

• (k + 3)

• (x²-4)

• (k - 5)

Factor out the GCF then apply x-method to factor completely. 
3x² + 18x +15

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

The number of hours to paint a house varies inversely with the number of painters working. A house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?

• 8 painters
• 10 painters
• 9 painters
• Before answering, watch video first.

The value of y varies directly with x.  Which function represents the relationship between x and y if y = 14 when x = 6. 

• y=20x
• y=84x
• y=7/3x
• y=3/7x

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

14² = 196

• log₁₄ 196 = 2

• log₂ 14 = 196

• log₂ 196 = 14

• log₁₄ 14 = 2