Polynomial Algebra

In polynomial Algebra, we talk about the algebraic expressions which are formed by the Combination of different terms. We say that the polynomial algebra may include the study of the linear equations, quadratic equations and the cubic equations. By linear equation, we Mean the polynomial with the degree of one. By quadratic polynomial we mean the polynomial with the degree 2 and by cubic polynomial we mean the Polynomials with the degree 3.

In order to find the solution of the given polynomial, we need to find the zero of the polynomials. By zero of the polynomial, we mean that the particular value of the variable in the polynomial, which results to the value zero to the polynomial, is called the zero of the polynomial. Also one must know that the linear equation has 1 zero of the polynomial which means it has only one solution. In the case of the Quadratic Equation, the equation has at most 2 zeroes of the polynomial, which indicates that the polynomial has maximum of two solutions and the cubic polynomial has at most three zeroes, which indicates that the polynomial has at the most three solutions. These solutions to the equations are also called the roots of the equation.

In polynomial Algebra we can learn different methods to solve the polynomials, which depend upon the type of polynomial it is. Some of the common methods used to find the zeroes of the given polynomials are by: Finding the common factors, by Factorization, by splitting the middle terms, by making the given polynomial in the form of the perfect squares or some of the polynomials can even be solved by converting the given polynomials into the form of the standard identities and thus comparing the terms with the identities and thus getting the results for the polynomials.