Imaginary Roots Of Polynomials. 7 roots of polynomials general form. N order of the polynomial ai constant coefficients roots real or complex 1.
Imaginary roots crop up when you have the square root of a negative number. It satisfies i 2 1. For an nth order polynomial n real or complex roots 2.
In the case of real coefficients the roots are real or come in conjugate pairs.
In particular i show students how to factor a 4th degree polynomial. How to graph polynomials when the roots are imaginary numbers an overview by yang kuang elleyne kase in pre calculus and in calculus certain polynomial functions have non real roots in addition to real roots and some of the more complicated functions have all imaginary roots. Polynomials with complex roots the fundamental theorem of algebra assures us that any polynomial with real number coefficients can be factored completely over the field of complex numbers. The roots of a polynomial can be real or imaginary.