Which statement is true about the polynomial–10m^4n^3 + 8m^2n^6 + 3m

1.	Which statement is true about the polynomial–10m^4n^3 + 8m^2n^6 + 3m^4n^3 – 2m^2n^6 – 6m^2n^6 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» $Given \: polynomial :\\-10m^{4}n^{3} + 8m^{2}n^{6} + 3m^{4}n^{3} - 2m^{2}n^{6} - 6m^{2}n^{6}$ /* Rearranging like TERMS ,we GET / $= -10m^{4}n^{3} +3m^{4}n^{3} +8m^{2}n^{6} -2m^{2}n^{6} -6m^{2}n^{6} \\= ( -10+3 )m^{4}n^{3} + ( 8 - 2 - 6 )m^{2}n^{6} \\= -7m^{4}n^{3} + 0\times m^{2}n^{6} \\ = -7m^{4}n^{3}\: ( Monomial )$ $\underline { \blue { Degree:}}$ The* degree of a polynomial is the highest degree of its variable term . $Degree \:of \: -7m^{4}n^{3} = 4 + 3 = 7$ THEREFORE., $\pink {It\: is\: a \:monomial \:with\: a \:degree \:of \:7.}$ •••♪

Which statement is true about the polynomial–10m^4n^3 + 8m^2n^6 + 3m^4n^3 – 2m^2n^6 – 6m^2n^6 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»

$Given \: polynomial :\\-10m^{4}n^{3} + 8m^{2}n^{6} + 3m^{4}n^{3} - 2m^{2}n^{6} - 6m^{2}n^{6}$

/* Rearranging like TERMS ,we GET */

$= -10m^{4}n^{3} +3m^{4}n^{3} +8m^{2}n^{6} -2m^{2}n^{6} -6m^{2}n^{6} \\= ( -10+3 )m^{4}n^{3} + ( 8 - 2 - 6 )m^{2}n^{6} \\= -7m^{4}n^{3} + 0\times m^{2}n^{6} \\ = -7m^{4}n^{3}\: ( Monomial )$