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

option (d) is correct.

Step-by-step explanation:

Given polynomial,

We have to combine like terms and rewrite the polynomial in standard form,

Standard form of a polynomial refers to the writing each term in increasing order of degreethat is from highest to lowest degree.

First we combine like terms,

Here, and has same power. so adding them we get,

Similarly,

also,

also,

Thus, when we add all term and writing again in standard form, we get,

Thus, option (d) is correct.

c. 4 1/4 pounds