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Degree of a Polynomial

The highest power of any term in the polynomial is called degree of a polynomial. Based on the degree, the polynomial are classified as linear polynomial, quadratic polynomial, cubic polynomial, biquadratic polynomial etc.

 

Linear Polynomial

A polynomial of degree 1 is called a linear polynomial.

 

Example : . Here x is of degree 1 therefore it is a linear polynomial.

 

Quadratic Polynomial

A polynomial of degree 2 is called a quadratic polynomial.

 

Example : . Here x of degree 2 therefore it is called as quadratic polynomial

 

Cubic Polynomial

A polynomial of degree 3 is called a cubic polynomial.

 

Example : .Here x of degree 3 therefore it is a cubic polynomial.

 

Biquadratic Polynomial

A polynomial of degree 4 is called a biquadratic polynomial.

 

Example : . Here x is of degree 4 then it is biquadratic polynomial.

 

Degree of a Polynomial in Two or More Variables :

In the case of polynomials in more than one variable, the sum of the powers of the variables in each term is taken up and the highest sum so obtained is called the degree of the polynomial.

 

Example : - is a polynomial of degree 5 in x and y.





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