# Polynomials Assignment Help

## Introduction to the Polynomials

A polynomial consists of two or more terms. For example, x + y, y2 – x2 and x2 + 3 x + 5 y2 are all polynomials. A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication and non-negative integer exponents. ## Polynomial Definition

A polynomial in a single indeterminate can be written in the form.

anxn + an-1xn-1 + ... + a2x2 + a1x + a0,

Where a0,...an are numbers, or more generally elements of a ring and x is a symbol which is called an indeterminate or, for historical reasons, a variable. The symbol x does not represent any value, although the usual (commutative, distributive) laws valid for arithmetic operations also apply to it.

This can be expressed more concisely by using summation notation:  ### Polynomial Equation:

A polynomial equation, also called algebraic equation, is an equation of the form.

anxn + an-1xn-1 + ... + a2x2 + a1x + a0=0

For example,

3x2 + 4x - 5 = 0

is a polynomial equation.