Q. 11 A4.2( 5 Votes )

# Which of the followings is a polynomial in one variable?A. B. C. D. x10 + y5 + 8

Let us check for the option (a),

We have

We can write it as, x + 2x-1 + 3.

Here, x-1 is a polynomial.

x + 2x-1 + 3 is not a polynomial.

is not a polynomial.

For option (b),

We have

We can write it as, 3√x + 2x-1/2 + 5.

Here, x- 1/2 is not a polynomial.

3√x + 2x- 1/2 + 5 is not a polynomial.

is not a polynomial.

For option (c),

We have √2x2 - √3x + 6

Term-wise, √2 x2 is a polynomial

√3 x is a polynomial

6 is a polynomial

√2 x2 - √3 x + 6 is a polynomial.

For option (d),

We have x10 + y5 + 8.

Here, we have two variables, x and y.

Hence, it is clearly not a polynomial of single variable.

Thus, option (d) is correct.

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