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Q.

Identify the expression $4 x 2 − 3 x + 7$ .

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a

A polynomial in one variable

b

Not 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

4 x 2 − 3 x + 7

.
We have to find the right option for the classification of the polynomial.
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.
A polynomial in two variables indicates an algebraic expression that has two variables with the respective exponent as the non–negative integers. The examples of polynomial in two variables are

f x,y = ax + by+c,f x,y = ax ² + by + c

etc.
The variable in the polynomial

4 x 2 − 3 x + 7

is x and, hence the polynomial is classified as a polynomial of one variable.
Therefore, the correct option is 1.

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