Class 9 Maths Polynomials | Terms and Coefficient of Polynomial |

**Terms & Coefficient of Polynomial **

**Terms of polynomial: **Each of p(x)=a_{n}x^{n}, a_{n–1} x^{n–1}, ..., a_{0}, with an ≠ 0, is called a term of the polynomial p(x). E.g. in p(x)=ax^{2} − 8x + 9 polynomial, ax^{2 } ,− 8x , 9 are terms of polynomials. Polynomial can have any finite number of terms. p(x)= x^{199} + 4x1^{98} ……. + 2x +3

A polynomial of one term is called a **monomial**, two terms is called a **binomial**, & three terms is called a **trinomial**. E.g. p(x)=8x is monomial. p(x)=9x^{3} + 3 is binomial , p(x)=7x^{4} + 3x^{3} + 7 is trinomial

**Coefficient of Polynomial**: Each term of a polynomial **has** a **coefficient**. So, in p(x)=9*x*^{3} - 3*x*^{2} +8*x *– 2, the coefficient of *x*^{3} is 9, the coefficient of *x*^{2} is -3, the coefficient of *x *is 8 and –2 is the coefficient of *x*^{0}.

**Constant & Zero polynomial**: 9 is also a polynomial. In fact, 4, –8, 32, etc. are examples of constant polynomials. The constant polynomial 0 is called the **zero polynomial**.

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