Imaginary Zeros Polynomial Functions. Notice written in this form is a factor of we can conclude if is a zero of then is a factor of similarly if is a factor of then the remainder of the division algorithm is 0. Polynomial synthetic division.
Use synthetic division to evaluate a given possible zero by synthetically dividing the candidate into the polynomial. This pair of implications is the factor theorem. Set each zero in a binomial like this.
Let p x be a polynomial function with real coefficients.
The fundamental theorem of algebra states that the degree of the polynomial is equal to the number of zeros the polynomial. Given a polynomial function latex f latex use synthetic division to find its zeros. Number of zeros theorem. This tells us that is a zero.