Types of Polynomials
Based on the number of terms of the given polynomial, it can be divided into monomial, binomial, trinomial, constant polynomials.
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The polynomial with only one term is called monomial.
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Example : 5x,, etc., are monomials.
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Binomial
The polynomial with two terms is called binomial.
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Example : Â p(x) =
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q(x) =r(x
) = are binomials.Â
The polynomial with three terms are called trinomial.
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Example :
Â s(x) =
P(x) = are trinomials.
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Polynomial containing only constant terms is a Constant polynomial.
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Example : 45, 56, 98 are constant polynomials.
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If the expression contains more three terms, then the expression is called a Polynomial.
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Example :Â is a polynomial
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Table: Polynomials classified according to their terms:
Number of terms 
Example 
Name 
1 
0 
Zero Polynomial 
1 
Monomial 

2 
Binomial 

3 
Trinomial 
Monomial: A number or a product of a number and a variable
Binomial: Two monomials connected by + or .
Trinomial: Three monomials connected by + or .
Polynomial: More than three monomials connected by + or .
Degree of the Polynomial
The highest power of the polynomial is called the degree of the polynomial. Degree of the polynomial is also called the order of the polynomial.
While finding the degree of the polynomial, the polynomial powers of the variables should be either in ascending or descending order.
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Example : consider the polynomial,
Here the polynomial is arranged in descending order, the degree of the polynomial is 4.
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Linear Polynomial : If the polynomial is of degree one then it is called a Linear Polynomial.
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Example :
are linear polynomials.
Quadratic Polynomial: If the degree of the polynomial is two then it is called a Quadratic polynomial.
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Example :Â are Quadratic polynomial.
Cubic Polynomial: If the degree the polynomial is three then it is called a Cubic polynomial.
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Example : are Cubic polynomials.
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Table : Polynomial Classified according to their degree
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Degree of polynomial 
Example 
Name of polynomial 
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0 
Zero 
0 
1 
(nonzero) constant 
1 
Linear 

2 
Quadratic 

3 
Cubic 

4 
Quartic or biquadratic 

5 
Quintic 

6 
Sextic or hexic 

7 
Septic or heptic 

8 
Octic 

9 
Nonic 

10 
Decic 