Roots of Polynomials Test Review

 $\left\{2,\ 2i,\ -2i\right\}$  

 $\left\{-2,\ 2i,\ -2i\right\}$  

 $\left\{-2,\ 2,\ -2i,\ 2i\right\}$  

 $\left\{2,\ 2i\right\}$  

 $\left\{2,\ \ 2\sqrt{2}\right\}$  

 $\left\{2,\ -2,\ 2\sqrt{2}\right\}$  

 $\left\{2,\ -2,\ \sqrt{8}\right\}$  

 $\left\{2,-2,\ 2\sqrt{2},-2\sqrt{2}\right\}$  

 $f\left(x\right)=\left(x+3\right)\left(x^2-5\right)$  

 $f\left(x\right)=\left(x-3\right)\left(x-\sqrt{5}\right)$  

 $f\left(x\right)=x^3+3x^2-5x-15$  

 $f\left(x\right)=x^3-3x^2+5x+15$  

 $f\left(x\right)=\left(x-3\right)\left(x+3i\right)$  

 $f\left(x\right)=x^3-3x^2+9x-27$  

 $f\left(x\right)=x^3+3x^2+9x-27$  

 $f\left(x\right)=\left(x-3\right)\left(x-3i\right)$  

5 total roots
1 real rational root at -5
2 real irrational roots at  $\pm2.236$  
2 non-real complex roots 

5 total roots
1 real rational root at -5
1 real irrational root at  $2.236$  
2 non-real complex roots

5 total roots
3 real rational roots at -5, -2.236, 2.236

0 real irrational roots

2 non-real complex roots

4 total roots
1 real rational root at -5
2 real irrational roots at  $\pm2.236$  
2 non-real complex roots

4 total roots
2 real rational roots at  $\left\{-7,\ 7\right\}$  
2 non-real complex roots

4 total roots

1 real rational root at  $\left\{-7\right\}$  
1 real irrational root at  $\left\{\sqrt{7}\right\}$  
2 non-real complex roots

4 total roots
2 real irrational roots at  $\pm\sqrt{7}$  
2 non-real complex roots 

4 total roots

2 real rational roots at  $\left\{\pm17\right\}$  
2 real irrational roots at  $\left\{\pm\sqrt{7}\right\}$  

 $\left\{2,\ 1\right\}$  

 $\left\{-2,\ 2,\ -1,\ 1\right\}$  

 $\left\{2,\ 1\ mult.\ 2\right\}$  

 $\left\{2,\ 1,\ 1\right\}$  

 $\left\{-3,\ -2\ \pm\ \sqrt{23}\right\}$  

 $\left\{-3,\ -2,\ \pm\sqrt{23}\right\}$  

 $\left\{3,\ -3,\ 2,\ -2,\ \pm\sqrt{23}\right\}$  

 $\left\{-3,\ \pm\sqrt{23}\right\}$  

 $\left\{0,\ 3,\ 3i\right\}$  

 $\left\{0,\ 3,\ \pm3i\right\}$  

 $\left\{\pm3,\ \pm3i\right\}$  

 $\left\{0,\ \pm3,\ \pm3i\right\}$  

 $\left\{5,\ -3,\ \pm\frac{5i\sqrt{3}}{6}\right\}$  

 $\left\{-5,\ \frac{-3\pm5i\sqrt{3}}{6}\right\}$  

 $\left\{-5,\ \frac{-3+5i\sqrt{3}}{6}\right\}$  

 $\left\{5,\ \frac{-3\pm5i\sqrt{3}}{6}\right\}$