8.2 Complex Zeros

True

False, because the solution and root are the same but the x-intercept and zero are opposite signs.

False, because the x-intercept and root are the same but the zero and solution are opposite signs.

False, because the x-intercept and solution are the same but the zero and root are opposite signs.

1

2

3

4

 $7+5i$  

 $-7+5i$  

 $7-5i$  

 $-7-5i$  

 $f\left(x\right)=x^3-4x^2-2x+20$  

 $f\left(x\right)=x^3-8x^2+22x-20$  

 $f\left(x\right)=x^4-6x^3i+6x^2i+24i+40$  

 $f\left(x\right)=x^4-6x^3+6x^2+24x-40$  

1

-1

 $\pm1$  

 $\pm\sqrt{-1}$  

 $-18-3i$  

 $-18+3i$  

 $-18-3i-i^2$  

 $-19-3i$  

 $\sqrt{-50}$  

 $\pm\sqrt{-50}$  

 $\pm i\sqrt{50}$  

 $\pm5i\sqrt{2}$  

 $\left(x-3i\right)\left(x-3i\right)\left(x-2-5i\right)\left(x-2-5i\right)$  

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

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

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

 $zeros:\ -2i,\ +2i$  

 $zeros:\ +2i,\ +2i$  

 $zeros:\ -2i,\ +2i,\ 4$  

 $zeros:\ -2i,\ +2i,\ -4$  

No solution

± 2i

 $\pm\sqrt{-4}$  

± 4i