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Which statement is true about the polynomial –10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?

AIt is a monomial with a degree of 4.
BIt is a monomial with a degree of 7.
CIt is a binomial with a degree of 6.
DIt is a binomial with a degree of 8.

Verified Answer :

frika

The polynomial \(-10m^4n^3 + 8m^2n^6 + 3m^4n^3-2m^2n^6-6m^2n^6\) consists of 5 monomials of form \(C_1m^4n^3\) and \(C_2m^2n^6.\)

To simplify this polynomial, group terms that are of the same form:

1.

\(-10m^4n^3+ 3m^4n^3=m^4n^3(-10+3)=-7m^4n^3.\)

2.

\(8m^2n^6-2m^2n^6-6m^2n^6=m^2n^6(8-6-2)=m^2n^6\cdot 0=0.\)

Then the simpliest form of the polynomial \(-10m^4n^3 + 8m^2n^6 + 3m^4n^3-2m^2n^6-6m^2n^6\) is \(-7m^4n^3.\) You can see that only one monomial left and this monomial has a degree of 4+3=7.

Answer: correct option is B (a monomial with a degree of 7).

Answer:

B.

Step-by-step explanation:

on edge :D

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