A2 - Test Chapter 3

Solve  $0=x^2-x-2$   using the given graph.

Determine the number of REAL solutions of $ax^2+bx+c=0$   given the graph.

• 0

• 1

• 2

Solve by factoring:

 $4x^2-8x=5$  

Solve by completing the square:

 $x^2+6x+7=0$  

•  $\frac{-6\pm2\sqrt{2}}{2}$  

•  $3\pm2\sqrt{2}$  

•  $-3\pm\sqrt{2}$  

•  $-6\pm2\sqrt{2}$  

Solve by using the quadratic formula: $3x^2-2=6x$  

•  $\frac{3\pm\sqrt{15}}{3}$  

•  $\frac{6\pm\sqrt{60}}{6}$  

•  $\pm\sqrt{60}$  

•  $1\pm2\sqrt{15}$  

Simplify:  $\sqrt{-20}$  

•  $i\sqrt{20}$  

•  $2i\sqrt{5}$  

•  $4i\sqrt{5}$  

•  $5i\sqrt{4}$  

Simplify: $\left(3+2i\right)-\left(5-2i\right)$ 

 $\left(5-4i\right)^2$  Simplify:

Find the discriminant  $3x^2-2x+11=0$  and use it to tell how many and what type of roots the equation has.

Graph $y>-2\left(x-3\right)^2+5$   

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