Question

Which expressions are polynomials?

Answer 1

z+1 , 6 + w and
`2x^(4)+4` are polynomials.

Explanation:

Given : Expressions.

To find: Which expressions are polynomials.

Solution : We have given expression

Polynomial : A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer.

So, z + 1 having variable z and contact 1 so, it is a polynomial.

6 + w is also a polynomial.

`2x^(4)+4` is also a polynomial that has degree 4 .

But expression
`y^(2)-\sqrt[1]{y}+4` is not a polynomial because it has fractional exponent.

Therefore, z+1 , 6 + w and
`2x^(4)+4` are polynomials.

Answer 2

A polynomial must have non-negative integer exponents on the variables.

All are polynomials except the first.