Question

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

Answer 1

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

.

The polynomial given is

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

What is polynomial?

An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

Let us rearrange the expression as;

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

Simplifying the above expression as;

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

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

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

For more details about Polynomial follow the link given below.

brainly.com/question/11298461.