algebra 2 unit 2 review

Factor:

4x² + 26x + 30

• (2x + 1)(x + 15)

• (x + 4)(x + 30)

• (2x + 3)(2x + 10)

• 2(2x + 3)(x + 5)

Complete the Square
x² + 6x = 5

• (x + 3)² = 5
• (x + 6)² = 9
• (x + 3)² = 14
• (x + 6)² = 14

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}
• {-6 + √13, -6 - √13}
• {6 + √59, 6 - √59}
• {-6 + √59, -6 - √59}

 $\left(4\sqrt{2}-2\sqrt{3}\right)\left(5\sqrt{2}-\sqrt{3}\right)$  

•  $20\sqrt{2}-14\sqrt{6}+2\sqrt{3}$  

•  $46-14\sqrt{6}$  

•  $32\sqrt{6}$  

•  $40-14\sqrt{6}+6\sqrt{3}$  

 $\left(10-3\sqrt{2}\right)\left(10+3\sqrt{2}\right)$  

•  $82-\sqrt{2}$  

•  $20-6\sqrt{2}$  

•  $100-60\sqrt{2}$  

• 82

(5x+2)(x²-3x+6)

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

Divide using synthetic division

(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4 R(-12)

• 2x² - 2x + 6 R(-23)

• 2x² - 2x + 8 R(-20)

• 2x² - 4x + 1 R(0)

Divide using synthetic division 
(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4  R(-12)
• 2x² - 2x + 6  R(-23)
• 2x² - 2x + 8  R(-20)
• 2x² - 4x + 1  R0

 $\frac{8x^3-38x^2-17x+43}{x-5}$  

•  $8x^2+2x-7+\frac{8}{x-5}$  

•  $8x^2+x-9+\frac{9}{x-5}$  

•  $8x^2+x-5+\frac{13}{x-5}$  

•  $8x^{22}+x-10+\frac{4}{x-5}$  

When (9x⁴- 45x³ + 37x² + x +2) is divided by (x-2), find the remainder.

• 656

• 652

• -64

• -368