Answer:

Option 2,3 and 4 are correct.

Step-by-step explanation:

To find : Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Check all that apply.

?+8r^2s^4-3r^3s^3

Solution :

The polynomials in standard form is written from higher degree to lower degree i.e. in descending order.

The given polynomial has degree 6: ?+8r^2s^4-3r^3s^3, and it can be ordered respect any of the two variables either r or s.

Adding a new term as first term needs to have degree equal or greater than 6.

1) s^5 cannot use as first term because its degree is less than 6.

2) 3r^4s^5 it can be use as degree is 9.

3r^4s^5+8r^2s^4-3r^3s^3 is the standard form.

3) -r^4s^6 it can be use as degree is 10.

-r^4s^6+8r^2s^4-3r^3s^3 is the standard form.

4) -6rs^5 it can be use as degree is 6.

-6rs^5+8r^2s^4-3r^3s^3 is the standard form.

Therefore, Option 2,3 and 4 are correct.