Learning Resources

Investigation 1: Number Systems & Focus A: Working With Imaginary Numbers

Step C

Your findings should be as follows.

• If two x-intercepts exist, then there are two unequal real roots. The graph crosses the x-axis twice.
• If one x-intercept exists, then there are two equal real roots. The graph touches the x-axis once. 
• If there are no x-intercepts, then there are no real roots. The graph does not touch the x-axis. This does not mean that the function has no zeros. It only means that it has no real zeros.