Alg. 2 Final Exam ~Review #1

Simplify
 (2x²y⁴)³ (6x³y²)²

• 12x¹²y¹⁶
• 72x¹²y¹⁶
• 288x¹²y¹⁶
• 288x³⁶y⁴⁸

• 2a²b⁶
• 1/2a²b⁶
• b⁶/2a²
• 2b⁶/a²

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12
• 5x³ + 17x² - 24x +12
• 5x³ - 13x² + 24x +12
• 5x³ +13x² - 24x - 12

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

Simplify
(p − 8)²

• p ² − 16p − 64 
• p ² + 16p + 64 
• p ² − 16p − 8
• p ² − 16p + 64 

Factor Completely: 
x⁴-9x²
Hint: Factor GCF first. 

• x²(x+3)(x-3)
• (x²+3x)(x²-3x)
• (x²+9)(x-3)(x+3)
• x²(x²-9)

Given 
f(x)= 2x² + 5x - 17, find f(-1). 

• f(-1) = -20
• f(-1) = -24

g(x) = x² + x - 2
Find g(x - 3)

• g(x - 3) = x² - 5x + 4
• g(x - 3) = x² - 7x - 14
• g(x - 3) = x² + x + 4
• g(x - 3) = x² - 6x + 10

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4

What is the inverse of the function
f(x) = 2x + 4   ?

• f^-1(x) = 4(x -2)
• f^-1(x) = (x-4)/2
• f^-1(x) = x/2 - 4
• f^-1(x) = x/4 + 2