The difference between an algebraic expression and a polynomial is:

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The exponents of polynomial terms are whole numbers while that of algebraic expressions are not.

The exponents of algebraic expression terms are whole numbers while that of polynomials are not.

The constant term is absent in algebraic expression while it is present in polynomials.

None of the above

answer is A.

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Detailed Solution

The exponents of polynomial terms are whole numbers, which distinguishes them from algebraic expressions.
While that of algebraic expressions are not.
For instance, A polynomial is expressed as :

a n x n + a n − 1 x n − 1 + … … a 0 x 0

where'

n

' is a whole number.
In contrast, an algebraic expression's exponents can have any real value, making

x

a mathematical expression rather than a polynomial.
Since

x 12

has

12

has an exponent.
The
Ans: is because exponents of algebraic expressions are not whole numbers while those of polynomial terms are.
Hence, option (1) is the correct Ans:.

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