f the exponent of a variable in an algebraic expression is a Whole Number then it is called a polynomial. A function p(x) of the form: p(x) = an x0 + a1 x + a2 x2 + …. + an, where all a0 , a1, a2 , an are real Numbers and n is non zero negative number (i.e. a whole number) is called a polynomial.
An expression in which variables, constants and exponent are present is known as polynomial expression. A polynomial expression contains addition, subtraction, and multiplication symbol.
For example: 3p2 + 8p3 – 4p - 2 = 0, we can easily say that the given equation is a polynomial expression because the expression follows the definition of polynomial.
Here we will see what is quadratic polynomial? In algebra , quadratic polynomial expression is the functionality to write algebraic expressions. Generally we show quadratic polynomial expression with following syntax,
In mathematics, problems are represented in expression form on which standard principles of math are applicable. The major part of mathematical problems is represented in form of any polynomial function. A polynomial is a mathematical expression which may consist of various derivatives of various orders which are related with each other by arithmetical operators to form an math expression.
The form of an monomial is expression is a(xn) where n is non-negative integer. The variable ‘a’ is called as coefficient of xn and n is the degree of the monomial. Based on the n value monomial is called as monomial (when n=1), two degree polynomial (when n=2) and three degree polynomial (when n=3).
The degree of polynomial is the greatest exponent of a term. The greatest exponent should have a non-zero coefficient in a polynomial expressed as a sum or difference of terms which is commonly known as Canonical form.
In case of a polynomial involving in one variable, the highest power of the variable is called the degree of the polynomial.Example: The degree of x5 – 2x3 + x is 5.In case of a polynomial involving in more than one variable, the highest sum of exponents of variables in any term is called the degree of the polynomial.