Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.
Solution:
(i)
(ii)
(iii)
(iv)
(v)
Solution (i)
It is a polynomial in one variable because there is just one variable
and exponent of
is a whole number in all the terms.
Solution (ii)
It is a polynomial in one variable because there is just one variable
and exponent of
is a whole number.
Solution (iii)
It is not a polynomial because exponent of variable
is not a whole number in the term
.
Solution (iv)
It is not a polynomial because exponent of
is not a whole number in the term (
)
Solution (v)
It is not a polynomial in one variable but it is a polynomial in 3 variables. All the variables have exponents as whole numbers.
Sumit says
This was very useful.Thank u!