Question

Which expressions are polynomials?

Select each correct answer.
□8x² (3y)
□ 4x² (5)
3y² (x²)
□9x² (²)

Answer 1

□8x² (3y)

□4x² (5)

3y² (x²)

Explanation:

8x² (3y) is a polynomial. It is a product of a monomial and a binomial, where the binomial contains a variable raised to a non-negative integer power.

4x² (5) is a polynomial. It is a product of a monomial and a constant.

3y² (x²) is a polynomial. It is a product of monomials.

9x² (²) is not a polynomial. The variable inside the square root is raised to a fractional power, which is not allowed in polynomials.

Therefore, the following expressions are polynomials:

8x² (3y)

4x² (5)

3y² (x²)