which statement is true about the polynomial –10m4n3 8m2n6 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified? it is a monomial with a degree of 4. it is a monomial with a degree of 7. it is a binomial with a degree of 6. it is a binomial with a degree of 8.
\(-10m^4n^3+ 8m^2n^6+ 3m^4n^3 - 2m^2n^6 - 6m^2n^6=-7m^4n^3\)
It is a monomial with a degree of 7.
Answer:
Option B is correct.
it is a monomial with a degree of 7
Step-by-step explanation:
Monomial is an expression that contains one term
For example: 2ab
Degree: The sum of the exponent of the variables
Given the Polynomial:
\(-10m^4n^3+8m^2n^6+3m^4n^3-2m^2n^6-6m^2n^6\)
Like terms are those terms which have same variable to the same power.
Combine like terms we have;
\(-7m^4n^3\)
Degree = 4+3 = 7
By definitions:
\(-7m^4n^3\) it is a monomial
Therefore, the simplified polynomial \(-7m^4n^3\) is monomial with degree 7.