An expression in which the variables involved have only whole numbers as exponents is called a polynomial .then what are those expressions whose power is not a whole number ?

Open in App

Solution

The "polynomials" with non intiger powers do not come under the catogory of polynomials.
There are no defanite name for them, but they are sometimes called exponential polynomials.
That name is given only if the power is in exponential form.

Suggest Corrections

Similar questions

Q. A polynomial is an algebraic expression in which variables are raised to only whole numbered powers.

Q. For a polynomial expression, all the exponents have to be whole numbers. They cannot be negative integers.

why should a variable have a exponent which is a whole number, to be called as polynomial? why can't the exponent be fraction like x^1/2 or negative number like x^-2?

Q. Assertion :The expression

3 x^{4} - 4 x^{\frac{3}{2}} + x^{2} = 2

is not a polynomial because the term

- 4 x^{\frac{3}{2}}

contains a rational power of

x

. Reason: The highest exponent in various terms of an algebraic expression in one variable is called its degree.

Q. Why should the power of an exponent in a variable always be a whole number?

Join BYJU'S Learning Program

An expression in which the variables involved have only whole numbers as exponents is called a polynomial .then what are those expressions whose power is not a whole number ?

The "polynomials" with non intiger powers do not come under the catogory of polynomials. There are no defanite name for them, but they are sometimes called exponential polynomials. That name is given only if the power is in exponential form.

The "polynomials" with non intiger powers do not come under the catogory of polynomials.
There are no defanite name for them, but they are sometimes called exponential polynomials.
That name is given only if the power is in exponential form.