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Which of the following expressions are p...

Which of the following expressions are polynomials in one variable and which are not ? Give reasons for you answer.
(i) `3x ^(2) - 2x + 5`
(ii) `x ^(2) + sqrt2`
(iii) `p^(2) - 3p +q`
(iv)`y + (2)/(y) (y ne 0)`
(v) `5 sqrtx + x sqrt5`
(vi) `x ^(100) + y ^(100)`

Text Solution

Verified by Experts

The correct Answer is:
(i) polynomial
(ii) Polynomial
(iii) No because it has two variables
(iv) Not polynomial because exponents is negative.
(v) Not polynomial because exponent of xis not a non negative integers.
(vi) Not polynomial in one variable becaue it has two variables.
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