Give the degree of the polynomial and identify its leading coefficient.
-$21 x y z + 18 x ^ { 2 } z - 10 y ^ { 2 } z ^ { 3 } + 2 x y - x ^ { 2 } y ^ { 2 } z ^ { 2 }$
A)degree: 6; leading coefficient: 21
B)degree: 5; leading coefficient: 10
C)degree: 6; leading coefficient: -1
D)degree: 6; leading coefficient: 2

Question

Quizplus · Accepted Answer

The degree of a polynomial is the highest sum of the exponents of the variables in any term of the polynomial. For the given polynomial, the term with the highest degree is $-x^2y^2z^2$, which has a degree of 6 (since $2+2+2=6$). The leading coefficient of this term, and thus of the polynomial, is -1.

Give the Degree of the Polynomial and Identify Its Leading 21xyz+18x2z−10y2z3+2xy−x2y2z221 x y z + 18 x ^ { 2 } z - 10 y ^ { 2 } z ^ { 3 } + 2 x y - x ^ { 2 } y ^ { 2 } z ^ { 2 }21xyz+18x2z−10y2z3+2xy−x2y2z2

Give the Degree of the Polynomial and Identify Its Leading $21 x y z + 18 x ^ { 2 } z - 10 y ^ { 2 } z ^ { 3 } + 2 x y - x ^ { 2 } y ^ { 2 } z ^ { 2 }$