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Answer:
The simplest polynomial function is .
Step-by-step explanation:
A n-th order polynomial in factorized form is defined by:
(1)
Where:
- Independent variable.
- Dependent variable.
,
,...,
,
- 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:
The simplest polynomial function is .