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

3r4s5 would be the best

Answer 2

`3r^(4)s^(5)\\-r^(4)s^(6)`

Explanation:

The standard form of a polynomial is when its term of highest degree is at first place.

In this case, we have two variables. The grade of each term is formed by the sum of its exponents. That means both given terms have a degree of six. So, the right answers must have a higher degree.

Therefore, the right answers are the second and third choice, because their degrees are 9 and 10 respectively.