List the degree of each term and the degree of the polynomial.
-$$x ^ { 15 } y ^ { 7 } z ^ { 12 } + 5 x ^ { 8 } y ^ { 17 } z ^ { 18 } - 10 x ^ { 9 } y ^ { 9 } z ^ { 4 }$$
A) 12,18 , 22; polynomial: 18
B) 34, 43, 22; polynomial: 43
C) $1260,2448,22$; polynomial: 2448
D) 264,43 , 22; polynomial: 264

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 calculated as follows: - For $x^{15}y^{7}z^{12}$, the degree is $15+7+12=34$. - For $5x^{8}y^{17}z^{18}$, the degree is $8+17+18=43$. - For $-10x^{9}y^{9}z^{4}$, the degree is $9+9+4=22$. The degree of the polynomial is the highest degree of any term, which is 43 in this case.

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