The simplest polynomial function is .
Step-by-step explanation:
A n-th order polynomial in factorized form is defined by:
Where:
, ,..., , - Roots of the polynomial.
We know that three roots, two real and a complex root. By Quadratic Formula, a second order polynomial has two conjugated complex number of the form and . Hence, there is an additional zero: .
By applying (1), we have the following polynomial when all roots are used:
By factorization and algebraic handling we have the simplest polynomial function: