What kind of roots does $x^3 - 30x^2 + 108x - 104 = 0$ have?

Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

The equation \(x^3 - 30x^2 + 108x - 104 = 0\) has

1. no real roots;

2. exactly one real root;

3. three distinct real roots;

4. a repeated root.

What does the Factor Theorem tell us? Could we try using small integers to find one factor?