Polynomials

**Polynomial**

An algebraic expression in which the exponents of the variables are non-negative integers are called polynomials. For example, 3*x*^{4} + 2*x*^{3} + *x* + 9, 3*x*^{4 }etc are polynomials.

**Constant polynomial:**A constant polynomial is of the form , where*k*is a real number. For example, –9, 10, 0 are constant polynomials.**Zero polynomial:**A constant polynomial ‘0’ is called zero polynomial.

**General form of a polynomial: **

A polynomial of the form where are constants and .

Here, are the respective coefficients of and *n* is the power of the variable *x*.

and are called the terms of *p*(*x*).

**Classification of polynomials on the basis of number of terms**- A polynomial having one term is called a monomial e.g. 3
*x*, 25*t*^{3 etc.} - A polynomial having two terms is called a binomial e.g. 2
*t*– 6, 3*x*^{4}+ 2*x*etc. - A poly…

- A polynomial having one term is called a monomial e.g. 3

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