Complex Zeros Of A Polynomial Function. We know that the real zero of this polynomial is 3 so one of the factors must be. Complex zeros consist of imaginary numbers.
Find the zeros of an equation using this calculator. Now that we can find rational zeros for a polynomial function we will look at a theorem that discusses the number of complex zeros of a polynomial function. This gives us a second factor of which we can solve using the quadratic formula.
Suppose f is a polynomial function of degree four and f x 0 f x 0.
The fundamental theorem of algebra states that the degree of the polynomial is equal to the number of zeros the polynomial contains. According to the fundamental theorem of algebra every polynomial function has at least one complex zero. We can tell by looking at the largest exponent of a polynomial how many solutions it will have. It can also be said as the roots of the polynomial equation.