Question

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.
+ 8r2s4 – 3r3s3


s5
3r4s5
–r4s6
–6rs5

Answer 1

Answer:

B) 3r4s5

C) –r4s6

Step-by-step explanation:

When we write the polynomials in standard form, we write the higher degree first.

The degrees in descending order.

Therefore, we can 3r^4 s^5 and -r^4s^6 can be used as the first terms.

Hope this will helpful.

Thank you.

Answer 2

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.