Q. 11 A4.2( 5 Votes )
Which of the followings is a polynomial in one variable?
A. 
B. 
C. 
D. x10 + y5 + 8
Answer :
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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