Question

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.

Answer 1

`-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 2

Option B is correct.

it is a monomial with a degree of 7

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.