Question

qhy the power of a polynomial should be whole no??​

Answer 1

Answer:

Polynomial is a number of terms in one or more variables ( mostly denoted by the lower case letters x, y, t, etc). The terms of the expression are separated from each other by + or - signs. The variables have coefficients generally denoted by lower case letters a, b, c etc. The powers of the variables are 0, 1, 2,3,4, ……., i.e. whole numbers. The powers need to be whole numbers as it is the requirement by definition of a polynomial.

Step-by-step explanation:

Polynomials are defined by conditions.

Polynomials also have a bunch of neat properties that make them polynomials.

You can have exponents as decimals or fractions however many neat properties will be lost in the process.

Polynomials are closed under addition, subtraction, multiplication, division, common divisors, and so forth.

With non whole number you will lose some properties. There is nothing wrong with having an exponent be a non-whole number. Like I said, some properties will be lost upon doing so.