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** )*

*Polynomial*

*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 )

**Coefficient (**

*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 **

**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 )

**Zero Polynomial (**

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

**Constant Polynomial (**अचर बहुपद )

**Constant Polynomial (**

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

**Linear Polynomial (**रैखिक बहुपद)

**Linear Polynomial (**

*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)

**Quadratic Polynomial (**

*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)

**Cubic Polynomial (**

*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**

**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 )

**Value of a Polynomial (**

*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)

**Zero of the Polynomial (**

*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?

*A)**. *

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

B)

*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.

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