Final Exam Review (Algebra 2)

Solve using properties of square roots.

x² - 49 = 0

• x = -7, x = 7

• x = -7

• x = 7

• x = 49

Use quadratic formula to solve: $x^2-4x+6=0$  

•  $\left\{\frac{4+\sqrt{8}}{2},\frac{4-\sqrt{8}}{2}\right\}$  

•  $\left\{6\right\}$  

•  $No\ Real\ Solutions$  

•  $\left\{\frac{-4+\sqrt{40}}{2},\frac{-4-\sqrt{40}}{2}\right\}$  

Use quadratic formula to solve: $n^2+9n-20=0$  

•  $\left\{\frac{-9+\sqrt{161}}{2},\frac{-9-\sqrt{161}}{2}\right\}$  

•  $\left\{\frac{9+\sqrt{141}}{2},\frac{9-\sqrt{141}}{2}\right\}$  

•  $No\ Real\ Solutions$  

•  $\left\{-10,\ 2\right\}$ 

Simplify.
 $\left(4-5i\right)\left(-2+7i\right)$ 

•  $27-38i$  

•  $-27+38i$  

•  $-27-38i$  

•  $27+38i$  

Simplify:

-3a²b³(4ab - 7a³)

• -12a²b² + 21a⁵b³

• -12a²b³ - 21a²b³

• 9a³

• -12a³b⁴ + 21a⁵b³

Divide the following polynomials: (2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3

• 2x³ - x² + 3x

• 2x² + 11x + 33 + 108/x+3

• 2x² - 5x + 12

Use a graphing calculator to determine which of the following polynomial functions BEST represents the given graph?

•  $f\left(x\right)=4x^3-x^2-3x$  

•  $f\left(x\right)=-x^3+6x^2-9x$  
  

•  $f\left(x\right)=-4x^3+x^2+3x$  
  

•  $f\left(x\right)=x^3-6x^2+9x$  
  

Subtract the following polynomials
 $\left(7x^2-3x+2\right)-\left(-4x^2+3x+6\right)$ 

•  $3x^2+8$  

•  $11x^2-6x-4$  

•  $11x^2+8$  

•  $11x^2+6x-4$  

• A
• B
• C
• D

Add

• 11    8
  -4     2
• 3     2
  -6    -6
• -3    2
  -4    -6
• 10    8
  -6    2