Polynomial in Hindi, deals with various concepts which are as under:-

- Polynomial (बहुपद )
- Coefficient ( गुणांक )
- Degree of the Polynomial
- Zero Polynomial (शून्य बहुपद )
- Constant Polynomial (अचर बहुपद )
- Linear Polynomial (रैखिक बहुपद)
- Quadratic Polynomial (द्विघात बहुपद)
- Cubic Polynomial (त्रघाती बहुपद)
- BI-Quadratic Polynomial
- Value of a Polynomial (बहुपद का मान )
- Zero of the Polynomial (बहुपद के शून्यंक)
- Degree of a Polynomial Example

#### Polynomial (बहुपद )

A polynomial is an algebraic expression of the form p(x) = a_{n} x^{n} + a_{n-1} x^{n-1} +……..+ a_{1} x^{1} + a_{0}, where a_{n}, a_{n-1}, a_{1}, a_{0} are real numbers and a_{n}≠ 0 is called a polynomial.

where a_{n} x^{n} , a_{n-1} x^{n-1} +…….., a_{1} x^{1} , a_{0}, are the terms of a polynomial and a_{n} , a_{n-1} ,…….., a_{1}, a_{0} are their coefficients.

**Coefficient ( **गुणांक )

The real number that precedes the variable is called the coefficient.

A polynomial involving one variable is called a polynomial in one variable.

**Degree of the Polynomial **

The exponent of the highest power of the variable of a polynomial is called the degree of the polynomial.

Based on its degree, a polynomial can be called as linear polynomial, quadratic polynomial, cubic polynomial and so on.

**Zero Polynomial (**शून्य बहुपद )

The polynomial with all the coefficients as zeros is called a zero polynomial.

**Constant Polynomial (**अचर बहुपद )

A polynomial with a single term of a real number is called a constant polynomial.

**Linear Polynomial (**रैखिक बहुपद)

A polynomial of degree one is called a first-degree or linear polynomial. The general form of a linear polynomial is ax + b, where a and b are real numbers and a ≠ 0.

**Quadratic Polynomial (**द्विघात बहुपद)

A polynomial of degree two is called a second degree or quadratic polynomial. The general form of a quadratic polynomial is ax^{2} + bx + c, where a,b and c are real numbers and a ≠ 0.

**Cubic Polynomial (**त्रघाती बहुपद)

A polynomial of degree three is called a third-degree or cubic polynomial. The general form of a cubic polynomial is ax^{3} + bx^{2} + cx^{ }+ d, where a,b,c and d are real numbers and a ≠ 0.

**BI-Quadratic Polynomial**

A polynomial of degree four is called a fourth-degree or biquadratic polynomial. The general form of a quadratic polynomial is ax^{4} + bx^{3} + cx^{2} + dx^{ }+ e, where a,b,c,d and e are real numbers and a ≠ 0.

**Value of a Polynomial (**बहुपद का मान )

The value of a polynomial p(x) when x = k (k is a real number) is the value obtained by substituting x as k. It is denoted by p(k).

**Zero of the Polynomial (**बहुपद के शून्यंक)

The zero of the polynomial is defined as any real value of x, for which the value of the polynomial becomes zero*.*

**Degree of a Polynomial Example**

#### Find the Degree of the Polynomials?

#### निम्न बहुपदों की घात पता कीजिए?

In this polynomial the highest power of the variable is 7 so the degree of the polynomial will be 7.

In this polynomial the highest power of the variable y is 6 so the degree of the polynomial will be 7.

C) 15

In this there are no variable so the degree will be 0. The polynomial with degree 0 is called as constant.