Perform long division with polynomials and determine whether one polynomial is a factor of another.
Use synthetic division to divide a polynomial by .
Use the remainder theorem to find a function value .
Use the factor theorem to determine whether is a factor of .
In general, finding exact zeros of many polynomial functions is neither easy nor straightforward. In this section and the one that follows, we develop concepts that help us find exact zeros of certain polynomial functions with degree 3 or greater.
Consider the polynomial
The factors are
and the zeros are
When a polynomial is expressed ...