Complete Polynomial in a nutshell !

Thorough understanding of polynomials from basic to advanced level . 

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable. An example of a polynomial with one variable is x²+x-12. In this example, there are three terms: x², x and -12. 

Types of Polynomials

Depending upon the number of terms, polynomials are divided into the following categories:

• Monomial
• Binomial
• Trinomial
• Polynomial containing 4 terms (Quadronomial) 
• Polynomial containing 5 terms (pentanomial ) and so on …

These polynomials can be combined using addition, subtraction, multiplication, and division but is never divided by a variable. A few examples of Non Polynomials are: 1/x+2, x^-3

Monomial

A monomial is an expression which contains only one term. For an expression to be a monomial, the single term should be a non-zero term. A few examples of monomials are:

• 5x
• 3
• 6a⁴
• -3xy

Binomial

A binomial is a polynomial expression which contains exactly two terms. A binomial can be considered as a sum or difference between two or more monomials. A few examples of binomials are:

• – 5x+3,
• 6a⁴ + 17x
• xy²+xy

Trinomial

A trinomial is an expression which is composed of exactly three terms. A few examples of trinomial expressions are:

• – 8a⁴+2x+7
• 4x² + 9x + 7