Polynomials
What is Polynomials?
A polynomial is an expression consisting of variables and coefficients, that represents a mathematical relationship. The variables are usually represented by x, y, and z. The coefficients are numbers that multiply the variables. The order of a polynomial corresponds to the highest exponent of the variable. For example, the polynomial x2 + 3x + 5 is a second-order polynomial because the highest exponent of the variable is 2.
Polynomials can be used to model many real-world situations. For example, the equation for a line is a first-order polynomial, the equation for a parabola is a second-order polynomial, and the equation for a cubic curve is a third-order polynomial.
Polynomials can be added, subtracted, and multiplied together to create new polynomials. This process is called algebra. Algebra is a powerful tool that can be used to solve equations and to find the roots of polynomials (the points where the polynomial equals zero).
The study of polynomials is a branch of mathematics called algebra. Algebra is a powerful tool that can be used to solve equations and to find the roots of polynomials (the points where the polynomial equals zero).
Polynomials Resources
Polynomials: Finding Zeroes and More
Finding zeros of a polynomial, finding the polynomial given zeros, the rational roots test, finding the number of zeros, and finding additional roots with the conjugate pair theorem....
Polynomials: Introduction
Basics of polynomials. Identifying polynomials; symmetry; adding, subtracting, multiplying, and simplifying polynomials; long and synthetic division; and the remainder theorem....
Introduction to polynomials
Learn about terms, coefficients, and exponents. The basic ingredients of polynomial expressions!...
Polynomials : Factoring
Factoring polynomials: factoring by grouping, perfect square trinomials, the difference of two squares, and using the GCF....