Finding Intercepts
Generalizations
Some useful deductions about roots of a polynomial equation and their nature are:
- A polynomial equation of order n can have a maximum of n roots, real or imaginary.
- Imaginary roots occur in pairs like 1+3i and 1-3i.
- Roots having square root terms occur in pairs like 1+?3 and 1-?3.
- If a polynomial equation involves only even powers of x and all terms are positive, then all roots of polynomial equation are imaginary (complex). For example, roots of the quadratic equation x4 + 2x2 + 4 = 0 are complex.