Question

Adding which terms to 3x^2y would result in a monomial? Check all that apply

Answer 1

B and F

Explanation:

Answer 2

`-12x^2y` and
`4x^2y`

Explanation:

Given

`3x^2y`

Required

What added term would make it a monomial

Options

`3xy`

`-12x^2y`

`2x^2y^2`

`7xy^2`

`-10x^2`

`4x^2y`

`3x^3`

The given expression,
`3x^2y` has 2 variables; x and y

x has a power of 2 and y has a power of 1.

This implies that, the next term to be added must have y to the power of 1 and x to the power of 2

From the list of given options, only 2 options satisfy this condition.

`-12x^2y`

`4x^2y`

When these two terms are added to
`3x^2y`, the result is a monomial.

i.e.

`3x^2y - 12x^2y = -9x^2y`

`3x^2y + 4x^2y = 7x^2y`