Question

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 â€"" 2m6 5m2n4 â€"" m3n3 n6 â€"" 4m6 9m2n4 â€"" mn5 â€"" 4m3n3 n6 7mn5 14m2n4 â€"" 5m3n3 â€"" 6m6 â€""2m6 â€"" 5m3n3 14m2n4 7mn5 n6 14m2n4 7mn5 â€"" 6m6 â€"" 5m3n3 n6 n6 â€"" 6m6 7mn5 14m2n4 â€"" 5m3n3.

Answer 1

The standard form of the polynomial function is $-6m^6+n^6+7mn^5+14m^2n^4-5m^3n^3$.

The polynomial given is

$8mn^5-2m^6+5m^2n^4-m^3n^3+n^6-4m^6+9m^2n^4-mn^5-4m^3n^3$

Let us rearrange the expression as,

$-2m^6-4m^6+n^6+8mn^5-mn^5+5m^2n^4+9m^2n^4-m^3n^3-4m^3n^3$

Simplifying the above expression as,

$-6m^6+n^6+7mn^5+14m^2n^4-5m^3n^3$

The above expression of the polynomial function is in its standard form.

Hence, the standard form of the polynomial function is $-6m^6+n^6+7mn^5+14m^2n^4-5m^3n^3$.

For more details, follow the link given below.

https://brainly.com/question/11298461.