Find the degree of the polynomial.
-$x y z^{4}+x^{4} y^{4}+x z^{3}$
A) 3
B) 8
C) 6
D) 4

Question

Quizplus · Accepted Answer

The degree of a polynomial is the highest degree of its monomials (individual terms) when added together. For the given polynomial $x y z^{4}+x^{4} y^{4}+x z^{3}$, the degrees of the individual terms are as follows: - For $xyz^{4}$, the degree is $1+1+4=6$.- For $x^{4}y^{4}$, the degree is $4+4=8$.- For $xz^{3}$, the degree is $1+3=4$.Therefore, the highest degree among these terms is 8, making the degree of the polynomial 8.

Find the Degree of the Polynomial xyz4+x4y4+xz3x y z^{4}+x^{4} y^{4}+x z^{3}xyz4+x4y4+xz3

Find the Degree of the Polynomial $x y z^{4}+x^{4} y^{4}+x z^{3}$