List the degree of each term and the degree of the polynomial.
-$x^{8} y z-x^{10} y^{2}-2 x^{7} y^{2} z^{3}$
A) 10, 12, 12; polynomial: 10
B) 8, 12, 12; polynomial: 12
C) 8,12, 12; polynomial: 8
D) 10, 12, 12; polynomial: 12

Question

Quizplus · Accepted Answer

The degree of a term in a polynomial is the sum of the exponents of the variables in the term. For the given polynomial, the degrees of the terms are as follows: $x^{8} y z$ has a degree of 8+1+1=10, $x^{10} y^{2}$ has a degree of 10+2=12, and $2 x^{7} y^{2} z^{3}$ has a degree of 7+2+3=12. The degree of the polynomial is the highest degree of any term, which is 12.

List the Degree of Each Term and the Degree of the Polynomial