Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of
these.
-$21 x y z + 25 x ^ { 2 } z - 9 y ^ { 2 } z ^ { 3 } + 5 x y - x ^ { 2 } y ^ { 2 } z ^ { 2 }$
A) 5; none of these
B) 6; trinomial
C) 1; trinomial
D) 6; none of these

Question

Quizplus · Accepted Answer

The degree of the polynomial is determined by the term with the highest sum of exponents, which is $x^2 y^2 z^2$ with a degree of 6. The polynomial has more than three terms, so it is none of these (not a monomial, binomial, or trinomial).

Find the Degree of the Following Polynomial and Determine Whether 21xyz+25x2z−9y2z3+5xy−x2y2z221 x y z + 25 x ^ { 2 } z - 9 y ^ { 2 } z ^ { 3 } + 5 x y - x ^ { 2 } y ^ { 2 } z ^ { 2 }21xyz+25x2z−9y2z3+5xy−x2y2z2

Find the Degree of the Following Polynomial and Determine Whether $21 x y z + 25 x ^ { 2 } z - 9 y ^ { 2 } z ^ { 3 } + 5 x y - x ^ { 2 } y ^ { 2 } z ^ { 2 }$