Polynomials in Factored Form

This set of flashcards covers key terms and concepts related to polynomials in factored form, including roots, intercepts, and characteristics of polynomial functions.

Root

A solution to a polynomial equation where the polynomial equals zero.

-intercept

The point where the graph of a polynomial crosses the x-axis.

Degree of a polynomial

The highest power of the variable in a polynomial function.

Double root

A root where the factor appears twice in the polynomial, causing the graph to touch the x-axis and turn back.

Complex roots

Roots that are not real numbers and often occur in conjugate pairs in polynomials with real coefficients.

Point of inflection

A point on the graph where the curvature changes direction.

Triple root

A root where the factor appears three times in the polynomial, leading to a flat spot at that root on the graph.

Distinct roots

Roots that are different from each other.

Polynomial function

A function that can be expressed in the form of a polynomial equation.

Graph of a polynomial

A visual representation of a polynomial function on a coordinate plane.