Question

Which are polynomials

Answer 1

Given:

Given that there are 4 expressions.

We need to determine the expressions that are polynomials.

Option a:
`-7x^2+(5)/(3x)`

In the second term of the expression, the constant is divided by a variable.

For an expression to be a polynomial, it should not divided by a variable.

Hence, the expression
`-7x^2+(5)/(3x)` is not a polynomial.

Thus, Option a is not the correct answer.

Option b:
`-x^(2)+5 x`

The given expression satisfies the conditions of the polynomial.

Hence, the expression
`-x^(2)+5 x` is a polynomial.

Thus, Option b is the correct answer.

Option c:
`6 x^(2)+5 x`

The given expression satisfies the conditions of the polynomial.

Hence, the expression
`6 x^(2)+5 x` is a polynomial.

Thus, Option c is the correct answer.

Option d:
`x^(2)+5 x^{(1)/(5)}`

The second term of the expression contains the exponent
`(1)/(5)`

For an expression to be a polynomial, the fractional exponent is not allowed.

Hence, the given expression
`x^(2)+5 x^{(1)/(5)}` is not a polynomial.

Thus, Option d is not the correct answer.