Chapter 4, Problem 15SGA

To determine

To state: The number of complex roots of the equation $x^3+2x^2-3x=0$ . Then find the roots and graph the related function.

Answer to Problem 15SGA

3 complex roots

  $x=-3,0,1$

Explanation of Solution

Given information: $x^3+2x^2-3x=0$

Calculation:

  

Being a cubic, there are then 3 complex roots.

Factoring you get:

  $\begin{array}{l}x\left(x^2+2x-3\right)=0\\ x\left(x-1\right)\left(x+3\right)=0\\ x=-3,0,1\end{array}$