About Polynomials

Introduction:

           An algebraic expression in which the variables have only non negative powers is called polynomial.  The monomial midterm study which contains finite number sum in x it said to be polynomial. The coefficients of the polynomial are said to be coefficients of the monomial in a polynomial. If coefficients of a polynomial are zero, then polynomial is said to be  zero polynomial. The highest coefficient power of x in a polynomial is called the leading coefficient for polynomial

Fundamental of Polynomial

Constants and variables are the fundamentals of polynomials.
Examples :In the formula for circumference of a circle, c=2π r ² and π are constants and c and r are variables

Degree and Types of Polynomials

Polynomials with more than one variable, the sum of powers of the variables taken up and the highest sum so obtained is called the degree of the polynomial.
Monomial, Binomial and Trinomials are three different types of Polynomials.

Properties of Polynomials

Addition and subtraction of two polynomials mean combining like terms.
We can perform multiplication and division also

Factorization of Polynomials

     You know that any polynomial of the form p(a) can also be written as
p(a) = g(a) x h(a) + R(a) it implies that Dividend = Quotient X Divisor + Remainder.
If the remainder is zero, then p(a) = g(a) x h(a). That is, the polynomial p(a) is a product of two other polynomials g(a) and h(a).