Question

Help me figure out which of these are polynomials for word document

Answer 1

The third and fourth options are the polynomials.

Step-by-step explanation:

Part 1

In the expression:

`\frac{y^2+3x^{(1)/(3)}}{4}`

All the exponents in the algebraic expression must be non-negative integers in order for the algebraic expression to be a polynomial. Since the exponent of x is 1/3, it is not a polynomial.

Part 2

Given:

`(7x^2+8)/(4x)`

If there are variables in the denominator of the fraction, the expression cannot be a polynomial.

Part 3 and 4

The third and fourth expressions are polynomials in 2 variables (x and y).

The third and fourth options are the polynomials.