polynomials

polynomials in one variable and its types

Introduction:-

All the expression which consist of variable , coefficient,and constant are called polynomial .

In polynomials the expression like 2x+1 is called  a term, each term of polynomial is called a

coefficient, In this therm x is a variable.

In fact, 2,-5,3 etc. are examples of polynomials. The constant polynomials 0 is called the zero polynomials. 

Degree of a polynomial is the highest power of the polynomial.

There are three types of polynomials on the bases of term:-

i) Monomial:-

 It has only one term.

ii) Binomial:-

 It has two terms.

iii) Trinomial:-

 It has three terms.

There are three types of polynomials on the bases of degree:-

i) linear polynomial :- 

It consist of polynomial with degree 1.

ii) Quadratic polynomial:-

It has polynomial with highest degree 2.

iii) cubic polynomials:-

It consist of polynomial with highest degree 3.

 ~ zeroes  or roots of polynomials refers to there solution.

- A zero of need not be 0 only.

- 0 may be a zero of polynomial.

- Every linear polynomial have only one zero.

- A polynomial can have more then one zero.

~ zeroes of polynomials can be find using factor theorem, reminder theorem, splitting the midterm method, completing the square method etc.