Is the following expression a polynomial? 1 2 x 2 In case of a polynomial, write its degree.

Given 1 2 x 2 ⇒ 1 2 x 2 = 2 x - 2 Polynomials are expressions with one or more terms with a non-zero coefficient. In the polynomial, each expression in it is called a term. Also, an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variables, is called as polynomials. It is not a polynomial as the expression has negative integral power of x .

Is the following expression a polynomial? 1 5 x 1 2 + 1 In case of a polynomial, write its degree.

Given, 1 5 x 1 2 + 1 ⇒ 1 5 x - 2 + 1 An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variables, is called as polynomials. It is not a polynomial as the expression has, x 1 2 which, is not a non-negative integer.

Is the following expression a polynomial? 3 5 x 2 - 7 3 x + 9 In case of a polynomial, write its degree.

Given, 3 5 x 2 - 7 3 x + 9 An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variables, is called as polynomials. Hence, it is a polynomial as the expression has positive integral powers of x with its highest power as 2 . Therefore, the degree of the given expression is 2 .

Is the following expression a polynomial? x 4 - x 3 2 + x - 3 In case of a polynomial, write its degree.

Given, x 4 - x 3 2 + x - 3 An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variables, is called as polynomials. It is not a polynomial as the expression has, x 3 2 which is not a non-negative integer.