Polynomials Class 9

Polynomials Class 9 – A polynomial is an expression comprising of variables and coefficients, involving multiplication, subtraction, addition, and variables with non-negative integer exponents. For example \(x^{2}-5x+9\) is a single variable polynomial. In a polynomial, the expressions \(x^{2},\;-5x, \;and\;9\) are called as the terms of a polynomial. Each term of a polynomial has a coefficient. From the given equation, the coefficient of \(x^{2}\) is 1, The coefficient of x is –5, and the coefficient of last term \(x^0\) is +9. Here, +9 is also a polynomial. In fact, terms like 2, –5, 7, etc. are the examples of constant polynomials. The polynomials with just one term are called monomials. For example: 5x, 9, 7\(x^{3}\), y, \(x^{7}\). The polynomials having 2 terms are called binomials. For example: m(x) = \(x^{3}\) – 4x, q(y) = -y + 9, etc. Similarly, the polynomials having 3 terms are called trinomials. For Example: g(y) = 9 – y + \(x^{3}\). Degree of a polynomial is the highest power of the variable in a polynomial equation. The degree of a constant polynomial (non-zero) is zero. For example the degree of polynomial q(y) = \(3x^{3}\) + \(x^{2}\) – x + 9 is 3.

Polynomials Class 9 Examples

Polynomials Class 9

Polynomials Class 9

Polynomials Class 9

Polynomials Class 9


Practise This Question

Which of the following statements is incorrect?