Respuesta :

 the answers are -12x^2 and 4x^2y. hopefully it helps and i just got it right.

Answer:

option 2 and 6

Step-by-step explanation:

Given : Monomial [tex]3x^2y[/tex]

To find : Adding which terms to  [tex]3x^2y[/tex] would result in a monomial? Check all that apply.

Solution :

Monomial is when the number of terms is only 1.

1) [tex]3xy[/tex]

Adding in given monomial

[tex]3x^2y+3xy[/tex]     is a binomial

2) [tex]-12x^2y[/tex]

Adding in given monomial

[tex]3x^2y+(-12x^2y)=-9x^2y[/tex]     is a monomial

3) [tex]2x^2y^2[/tex]

Adding in given monomial

[tex]3x^2y+2x^2y^2[/tex]     is a binomial

4) [tex]7xy^2[/tex]

Adding in given monomial

[tex]3x^2y+7xy^2[/tex]     is a binomial

5) [tex]-10x^2[/tex]

Adding in given monomial

[tex]3x^2y-10x^2[/tex]     is a binomial

6) [tex]4x^2y[/tex]

Adding in given monomial

[tex]3x^2y+4x^2y=7x^2y[/tex] is a monomial

7) [tex]3x^3[/tex]

Adding in given monomial

[tex]3x^2y+3x^3[/tex]     is a binomial

Therefore, Option 2 and 6 are the terms giving a monomial.