![]() ![]() This polynomial can be factored into the following expression\ So an example of factoring, consider the following second order polynomial,\ Factoring is the process of breaking the polynomial into a set of algebraic terms that are equivalent to the original polynomial when multiplied together. Some second order polynomials can be factored. However, finding roots is more difficult for higher order polynomials. The root finding process is trival for first order polynomials. The solution to this equation is -1, which is the root of this polynomial. For instance, consider the first polynomial example (1). When the polynomial is set equal to zero, the value(s) that solve the equation are the roots of the polynomial. Likely, the most common are finding the roots, factoring, and evaluating polynomials at certain values of the variable(s). There are several typical operations that are performed on polynomials. If we added an $x^2$ term, for example, then it would be a second order polynomial.\ The example shown above would be called a first order polynomial. Polynomials are described by the highest power term, called the “order” of the polynomial. A simple example of a polynomial in a single variable is\ Polynomial OrdersĪ bit of vocabulary first. ![]() In python, NumPy can be used to perform operations on polynomials.Ī polynomial is an algebraic expression typically consisting of two or more terms of multiple variables raised to different powers summed together. Polynomials are an important mathematical building block used in many science and engineering fields. ![]()
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