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Q.

Identify the expression $y + 2 y$ .

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a

Not a polynomial in one variable

b

A polynomial in one variable

c

All of the above

d

None of the above

answer is A.

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Detailed Solution

The given expression is

y + 2 y

.
A polynomial in one variable indicates an algebraic expression that has only one variable with its exponent as the non–negative integers. The examples of a polynomial in one variable are

f x = ax + b, f x = ax ² + bx + c

etc.
The variable in the polynomial

y + 2 y

is y and the power of y is –1 which is not a non–negative integer. It does not satisfy the definition of a polynomial with one variable and, hence the polynomial is not classified as a polynomial of one variable.
Therefore, the correct option is 1.

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