Question

Check whether $y+y^3$ and $\sqrt[3]{3y}+y^3$ are polynomials or not?
(2 Marks)

Answer 1

As we know, for the polynomials the exponents of the variable must be a whole number.

Here in polynomial $y+y^3$, the exponents of the variable y are 1 and 3. We can see that, all the exponents are whole number.
Therefore, it is a polynomial. (1 mark)
Similarly,
Here in polynomial $\sqrt[3]{3y}+y^3$, the exponents of the variable y are 1\3 and 3. Since, 1\3 is not a whole number. Therefore, it is not a polynomial. (1 mark)