Polynomial is basically a term which deals in almost every type of mathematical equations or statements. The most common terminologies used in polynomial expressions are monomial, binomial and trinomials. Algebraic equation with all variables having whole number, exponents or powers is called polynomial. The expressions in which the power of variables are negative and rational numbers are not polynomials. Algebraic expression having single term known as monomial and expression with two terms are known as binomial whereas expressions with more than two terms or having three terms are known as trinomials.
Polynomial functions come equipped with terms, factors, variables, and constants. Let us explore about all these required objects to form a polynomial function. When numbers are implemented with addition or subtraction then they are said to be terms.Terms are of two types Like terms or Unlike terms. Terms that have the same power of the same variable are called like terms. The terms used in an expression that do not contain the same power of the same variables are called unlike terms. In an expression if the product of the numbers are used then the expression is called as factors. Variables are just representing a symbol which uses different values under it whereas constant is a single value symbol.
Polynomial equations, come with the sum of the power of same derivatives and includes different integer constants, while the derivatives used are finite in numbers. The standard form of any polynomial equation is as:
bnyn + bn-1 yn-1 + ….......................+. b2 y2 + ….... + b0y0
In the above equation, y is the variable and b is the integer coefficient used.
Lets see some of the examples of polynomial equations to understand it better.
10xyz : Monomial
3x + 7y : Binomial
3x + 7y – c : Trinomial
Polynomial functions come equipped with terms, factors, variables, and constants. Let us explore about all these required objects to form a polynomial function. When numbers are implemented with addition or subtraction then they are said to be terms.Terms are of two types Like terms or Unlike terms. Terms that have the same power of the same variable are called like terms. The terms used in an expression that do not contain the same power of the same variables are called unlike terms. In an expression if the product of the numbers are used then the expression is called as factors. Variables are just representing a symbol which uses different values under it whereas constant is a single value symbol.
Polynomial equations, come with the sum of the power of same derivatives and includes different integer constants, while the derivatives used are finite in numbers. The standard form of any polynomial equation is as:
bnyn + bn-1 yn-1 + ….......................+. b2 y2 + ….... + b0y0
In the above equation, y is the variable and b is the integer coefficient used.
Lets see some of the examples of polynomial equations to understand it better.
10xyz : Monomial
3x + 7y : Binomial
3x + 7y – c : Trinomial
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